{"id":1313,"date":"2022-04-18T11:04:52","date_gmt":"2022-04-18T11:04:52","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1313"},"modified":"2024-03-22T15:35:16","modified_gmt":"2024-03-22T15:35:16","slug":"remainder-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder","title":{"rendered":"Remainder &#8211;\u00a0 Definition, Parts, Formula, Example"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-1b7c9944-c637-4b35-b2e6-5b37bc6e8dd7\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder#0-what-is-a-remainder-in-math>What Is a Remainder in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder#5-how-to-find-the-remainder>How to Find the Remainder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder#9-how-to-represent-the-remainder>How to Represent the Remainder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder#12-solved-examples-on-remainder>Solved Examples on Remainder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder#13-practice-problems-on-remainder>Practice Problems on Remainder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder#14-frequently-asked-questions-on-remainder>Frequently Asked Questions on Remainder<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-remainder-in-math\">What Is a Remainder in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A remainder is something which is \u201cleft over\u201d or \u201cremaining.\u201d&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, What does remainder mean in a division problem? <strong>The meaning of remainder is<\/strong> <strong>the leftover value or the remaining part after a division problem is called a remainder.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In a division problem, there are two cases.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">When a number is completely divisible by another number: In this case, we are not left with anything at the end of the division.<br><\/li>\n\n\n\n<li class=\"eplus-wrapper\">When a number is not divisible by another number: In this case, we are left with some value at the end of the division. We call it the \u201cremainder\u201d of the division.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"1-definition-of-remainder\">Definition of Remainder<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The definition of remainder in math can be given as the leftover number in a division problem<strong>.<\/strong> If the number is not completely divisible by another number, then we are left with a value, which is called remainder. A remainder is always less than the divisor.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-correct-missing-part-of-division-equation\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_miss_num_div_b_pt.png\" alt=\"Choose the Correct Missing Part of DIvision Equation Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Correct Missing Part of DIvision Equation Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-correct-remainder\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_find_remainder_c_pt.png\" alt=\"Choose the Correct Remainder Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Correct Remainder Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-division-patterns-of-decimal-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_mul_div_complete_div_pattern_pt.png\" alt=\"Complete Division Patterns of Decimal Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete Division Patterns of Decimal Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-division-equation-by-filling-the-quotient-or-divisor\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_miss_num_div_d_pt.png\" alt=\"Complete the Division Equation by FIlling the Quotient or Divisor Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Division Equation by FIlling the Quotient or Divisor Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-division-equation\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_miss_num_div_e_pt.png\" alt=\"Complete the Division Equation Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Division Equation Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-division-expression-for-arrays\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_facts_rep_div_arr_pt.png\" alt=\"Complete the Division Expression for Arrays Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Division Expression for Arrays Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-division-expression-for-equal-groups\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_facts_rep_div_grp_pt.png\" alt=\"Complete the Division Expression for Equal Groups Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Division Expression for Equal Groups Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-division\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_complete_div_1_pt.png\" alt=\"Complete the Division Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Division Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-division-patterns\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_facts_div_pattern2_pt.png\" alt=\"Complete the Division Patterns Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Division Patterns Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-division-solution\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_div_2_to_5_d_pt.png\" alt=\"Complete the Division Solution Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Division Solution Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-parts-of-a-division\">Parts of a Division<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The four important parts of any division problem are:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Dividend<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Divisor<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Quotient<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Remainder<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">In a division problem, the number that is being divided is called dividend. The number that divides the dividend is called divisor. The result of the division is called a \u201cquotient.\u201d When the dividend is not completely divided by the divisor, the leftover value is called \u201cremainder.\u201d<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example: Divide 25 by 6.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that $6\\times4 = 24$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, quotient $= 4$ and we are left with the remainder of 1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"346\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-2.png\" alt=\"25 divided by 6 long division showing parts of division\" class=\"wp-image-27420\" title=\"25 divided by 6 long division showing parts of division\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-2-300x167.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">We can write this as $25 \\div 6 \\rightarrow 4 R 1$, where 4 is the quotient and 1 is the remainder.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/apply-division-in-everyday-life\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/apply-division-in-everyday-life.jpeg\" alt=\"Apply Division in Everyday Life Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/compare-division-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/compare-division-expressions.jpeg\" alt=\"Compare Division Expressions Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/compare-division-situations\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/compare-division-situations.jpeg\" alt=\"Compare Division Situations Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/compare-the-division-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/compare-the-division-expressions.jpeg\" alt=\"Compare the Division Expressions Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-multiplication-and-division-sentences\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-multiplication-and-division-sentences.jpeg\" alt=\"Complete Multiplication and Division Sentences Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-division-facts\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-division-facts.jpeg\" alt=\"Complete the Division Facts Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-division-sentence\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-division-sentence.jpeg\" alt=\"Complete the Division Sentence Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-division\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-division.jpeg\" alt=\"Complete the Division Worksheet\">\r\n\t    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});\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-remainder-in-division-examples\">Remainder in Division: Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s discuss a few examples.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: <\/strong>Suppose you have 9 flowers (9 is the dividend). You wish to divide the flowers equally into 2 groups (2 is the divisor). Each group will have 4 flowers (4 is the quotient). Thus, 8 flowers get distributed equally and 1 flower is left over.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"477\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-1.png\" alt=\"Remainder in math visual example\" class=\"wp-image-27421\" title=\"Remainder in math visual example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-1-300x231.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: <\/strong>The number 16 is not exactly divided by 5. The closest value to 16 that we can get is $5\\times3 = 15$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, $16 \\div 5$ gives the quotient 3 and the remainder is $16\\;-\\;(5\\times3)= 1$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, $R = 1$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3: Division problem with remainder 0.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$27\\div9 = 3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">27 is completely divisible by 3. Thus, the remainder is 0.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-remainder-formula\">Remainder Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In a division problem, the dividend, divisor, quotient and remainder are related by the following equation&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Dividend = (Divisor \\times Quotient) + Remainder$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, we can express the remainder as<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Remainder = Dividend\\;-\\;(Divisor \\times Quotient)$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-how-to-find-the-remainder\">How to Find the Remainder<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">How to find a remainder in a division problem? Let\u2019s understand the steps with an example. This method is convenient to use when the numbers involved are small and easy to use for calculations.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example: Find the remainder when 69 is divided by 6.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1: <\/strong>Identify the parts of the division.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, dividend $= 69$, divisor $= 6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2: <\/strong>Check if the dividend appears in the table of the divisor. If not, find the multiple of the divisor nearest to the dividend.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, 69 is not in the table of 6. It is not completely divisible by 6.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Nearest multiple of $6 = 6\\times11 = 66$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">and quotient $= 6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3: <\/strong>Subtract this multiple from the dividend.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$69\\;-\\;66 = 3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">You can also use the formula we discussed earlier.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Remainder = Dividend\\;-\\;(Divisor \\times Quotient)$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, remainder $= 69 &#8211; (6\\times11) = 3$<\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td>$18 \\div 7$&nbsp;<\/td><td>Quotient $= 2$<\/td><td><strong>Remainder <\/strong>$= 4$<\/td><\/tr><tr><td>$15 \\div 10$<\/td><td>Quotient $= 1$<\/td><td><strong>Remainder <\/strong>$= 5$<\/td><\/tr><tr><td>$23 \\div 6$<\/td><td>Quotient $= 3$<\/td><td><strong>Remainder <\/strong>$= 5$<\/td><\/tr><tr><td>$46 \\div 9$<\/td><td>Quotient $= 5$<\/td><td><strong>Remainder <\/strong>$= 1$<\/td><\/tr><tr><td>$15 \\div 5$<\/td><td>Quotient $= 3$<\/td><td><strong>Remainder<\/strong> $= 0$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-long-division-method\">Long Division Method<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The best way to find the remainder is the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/long-division\">long division<\/a> method. When the dividend is a large number, it is better to use the long division method. It is a method for dividing large numbers into smaller groups or parts. It helps to break down a problem into simple and easy steps.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Note that the remainder always has to be less than the divisor. If it is more than the divisor, it means the long division is incomplete.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example: Divide 75 by 4. Find the remainder.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"376\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-3.png\" alt=\"finding remainder using long division\" class=\"wp-image-27423\" title=\"finding remainder using long division\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-3-300x182.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-properties-of-a-remainder\">Properties of a Remainder<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A remainder is always less than the divisor.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">If one number (divisor) divides the other number (dividend) completely, then the remainder is 0. It is referred to as a complete division.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">If a dividend is a multiple of the divisor, then the remainder is 0.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-learn-about-remainder-with-an-activity\">Learn About Remainder with an Activity<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Long division is a method that allows us to divide large numbers into multiple smaller groups or parts. When we divide a dividend with a divisor, the quotient obtained is the number of groups that can be made, and the remainder identifies how many elements or numbers that will be left ungrouped.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s do a fun activity and understand both division and remainder concepts.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Consider a group of objects that needs to be divided into equal groups.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Number of objects: Dividend<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Number of groups: Divisor<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Number of items in each small group: Quotient<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Number of items left: Remainder<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1:<\/strong> How can we divide 12 flowers among 3 children?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"370\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-4.png\" alt=\"zero remainder example\" class=\"wp-image-27424\" title=\"zero remainder example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-4-300x179.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">When 12 flowers are divided among 3 children, each child will get 4 flowers and no flower will be left.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2:<\/strong> Divide 9 books into 2 equal groups. How many books are left?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"370\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-5.png\" alt=\"non-zero remainder example\" class=\"wp-image-27425\" title=\"non-zero remainder example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-5-300x179.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">When 9 books are divided among two groups each group gets 4 books and 1 book is left.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When we cannot make equal groups or distribute equally to all the groups, the number that is left undivided is called the remainder.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-how-to-represent-the-remainder\">How to Represent the Remainder<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We can represent the parts of the division problem using a single equation.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1:<\/strong> If you have 9 toffees and you share it equally with your four friends. How many toffees will you have?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If you give two toffees each to your friends, you would have shared 8 toffees. Only 1 toffee will remain with you, and this leftover of 1 toffee is called the remainder.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"675\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-6.png\" alt=\"Visual example of division problem with remainder\" class=\"wp-image-27426\" title=\"Visual example of division problem with remainder\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/What-is-Remainder-6-276x300.png 276w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Mathematically, we can write the above expression as:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$9 \\div 4 = 2 \\;R\\; 1$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">9 is the dividend, 4 is the divisor, 2 is the quotient, and 1 is the remainder.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2:<\/strong> Divide 22 by 3.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We get 3 equal parts of 7 that add up to 21.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$3\\times7 = 21$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We are left with 1. This 1 is the remainder.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We represent this as: $21 \\div 7 = 3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3: <\/strong>Another way to represent the remainder is by representing in the form of mixed fractions. The number 19 divided by 2 can be written as $\\frac{19}{2} =  9\\frac{1}{2}$.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-facts-about-remainder\">Facts about Remainder<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">When one number divides another number completely, the remainder is 0 and the division is called complete division.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The word remainder comes from the Latin word \u201cremanere,\u201d which means \u201cto remain.\u201d<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned about remainder in a division problem, methods of finding remainder, the long division method, properties of a remainder. Let\u2019s solve a few examples to understand the concept better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-solved-examples-on-remainder\">Solved Examples on Remainder<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Find the remainder when 23 is divided by 4.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, divisor $= 4$, dividend $= 23$&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"102\" height=\"189\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/Solved-Examples-1-6.png\" alt=\"finding remainder when 23 is divided by 4\" class=\"wp-image-27427\" style=\"width:102px;height:189px\" title=\"finding remainder when 23 is divided by 4\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Remainder $= 3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>&nbsp;2. Find the remainder when 87 is divided by 3.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, divisor $= 3$, dividend $= 87$&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"102\" height=\"266\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/Solved-Examples-2-4.png\" alt=\"finding remainder when 87 is divided by 3\" class=\"wp-image-27428\" title=\"finding remainder when 87 is divided by 3\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">87 is completely divisible by 3. Thus, the remainder is 0.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3.&nbsp; What is the missing term?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"118\" height=\"266\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/Solved-Examples-3-3.png\" alt=\"finding missing term in long division\" class=\"wp-image-27430\" title=\"finding missing term in long division\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the divisor is 7 and the dividend is 456.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"118\" height=\"266\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/Solved-Examples-3-answer.png\" alt=\"456 divided by 7 long division with remainder 1\" class=\"wp-image-27431\" title=\"456 divided by 7 long division with remainder 1\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The missing term $= 7\\times6 = 42$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Find the dividend, divisor, quotient, and remainder, when 100 is divided by 9?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, divisor $= 9$ and dividend $= 100$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The multiple of 9 nearest to $100 = 9\\times11 = 99$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, quotient $= 11$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Remainder $= 100\\;-\\;99 = 1$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"102\" height=\"189\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/Solved-Examples-4-4.png\" alt=\"long division of 100 divided by 9 with remainder 1\" class=\"wp-image-27432\" title=\"long division of 100 divided by 9 with remainder 1\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-practice-problems-on-remainder\">Practice Problems on Remainder<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Remainder -\u00a0 Definition, Parts, Formula, Example<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Find the dividend if the divisor is 7, the quotient is 81, and the remainder is 3.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">250<\/div><div class=\"spq_answer_block\" data-value=\"1\">582<\/div><div class=\"spq_answer_block\" data-value=\"2\">570<\/div><div class=\"spq_answer_block\" data-value=\"3\">572<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 570<br\/>$Dividend = (Divisor \\times Quotient) + Remainder$<br>\r\n$Dividend = (81 \\times 7) + 3$<br>\r\n$Dividend= 567 + 3$<br>\r\n$Dividend= 570$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">There are 40 chocolates in a bowl. If we divide the chocolates evenly between 10 kids, what will be the remainder?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">3<\/div><div class=\"spq_answer_block\" data-value=\"3\">5<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 0<br\/>$40 = 10\\times4$<br>\r\n40 is the multiple of 10. Thus, it is completely divisible by 10.<br>\r\nRemainder $= 0$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The remainder is always less than the____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">dividend<\/div><div class=\"spq_answer_block\" data-value=\"1\">divisor<\/div><div class=\"spq_answer_block\" data-value=\"2\">quotient<\/div><div class=\"spq_answer_block\" data-value=\"3\">0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: divisor<br\/>The remainder is always less than the divisor.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Bella has $\\$31$. She divides it equally between 4 friends. What is the amount left with her?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\$2$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\$4$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\$3$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\$1$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\$3$<br\/>$31div4 = 7$ with a remainder of 3<br>\r\nThus, Bella is left with $\\$3$.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Remainder -\u00a0 Definition, Parts, Formula, Example\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Remainder\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the dividend if the divisor is 7, the quotient is 81, and the remainder is 3.\",\n                    \"text\": \"Find the dividend if the divisor is 7, the quotient is 81, and the remainder is 3.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$Dividend = (Divisor \\\\times Quotient) + Remainder$$<br>\r\n$$Dividend = (81 \\\\times 7) + 3$$<br>\r\n$$Dividend= 567 + 3$$<br>\r\n$$Dividend= 570$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"250\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$Dividend = (Divisor \\\\times Quotient) + Remainder$$<br>\r\n$$Dividend = (81 \\\\times 7) + 3$$<br>\r\n$$Dividend= 567 + 3$$<br>\r\n$$Dividend= 570$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"582\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$Dividend = (Divisor \\\\times Quotient) + Remainder$$<br>\r\n$$Dividend = (81 \\\\times 7) + 3$$<br>\r\n$$Dividend= 567 + 3$$<br>\r\n$$Dividend= 570$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"572\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$Dividend = (Divisor \\\\times Quotient) + Remainder$$<br>\r\n$$Dividend = (81 \\\\times 7) + 3$$<br>\r\n$$Dividend= 567 + 3$$<br>\r\n$$Dividend= 570$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"570\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$Dividend = (Divisor \\\\times Quotient) + Remainder$$<br>\r\n$$Dividend = (81 \\\\times 7) + 3$$<br>\r\n$$Dividend= 567 + 3$$<br>\r\n$$Dividend= 570$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$Dividend = (Divisor \\\\times Quotient) + Remainder$$<br>\r\n$$Dividend = (81 \\\\times 7) + 3$$<br>\r\n$$Dividend= 567 + 3$$<br>\r\n$$Dividend= 570$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"There are 40 chocolates in a bowl. If we divide the chocolates evenly between 10 kids, what will be the remainder?\",\n                    \"text\": \"There are 40 chocolates in a bowl. If we divide the chocolates evenly between 10 kids, what will be the remainder?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$40 = 10\\\\times4$$<br>\r\n40 is the multiple of 10. Thus, it is completely divisible by 10.<br>\r\nRemainder $$= 0$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$40 = 10\\\\times4$$<br>\r\n40 is the multiple of 10. Thus, it is completely divisible by 10.<br>\r\nRemainder $$= 0$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$40 = 10\\\\times4$$<br>\r\n40 is the multiple of 10. Thus, it is completely divisible by 10.<br>\r\nRemainder $$= 0$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$40 = 10\\\\times4$$<br>\r\n40 is the multiple of 10. Thus, it is completely divisible by 10.<br>\r\nRemainder $$= 0$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$40 = 10\\\\times4$$<br>\r\n40 is the multiple of 10. Thus, it is completely divisible by 10.<br>\r\nRemainder $$= 0$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$40 = 10\\\\times4$$<br>\r\n40 is the multiple of 10. Thus, it is completely divisible by 10.<br>\r\nRemainder $$= 0$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The remainder is always less than the____.\",\n                    \"text\": \"The remainder is always less than the____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The remainder is always less than the divisor.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"dividend\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The remainder is always less than the divisor.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"quotient\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The remainder is always less than the divisor.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The remainder is always less than the divisor.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"divisor\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The remainder is always less than the divisor.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The remainder is always less than the divisor.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Bella has $$\\\\$$31$$. She divides it equally between 4 friends. What is the amount left with her?\",\n                    \"text\": \"Bella has $$\\\\$$31$$. She divides it equally between 4 friends. What is the amount left with her?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$31div4 = 7$$ with a remainder of 3<br>\r\nThus, Bella is left with $$\\\\$$3$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$31div4 = 7$$ with a remainder of 3<br>\r\nThus, Bella is left with $$\\\\$$3$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$4$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$31div4 = 7$$ with a remainder of 3<br>\r\nThus, Bella is left with $$\\\\$$3$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$31div4 = 7$$ with a remainder of 3<br>\r\nThus, Bella is left with $$\\\\$$3$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\$$3$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$31div4 = 7$$ with a remainder of 3<br>\r\nThus, Bella is left with $$\\\\$$3$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$31div4 = 7$$ with a remainder of 3<br>\r\nThus, Bella is left with $$\\\\$$3$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"14-frequently-asked-questions-on-remainder\">Frequently Asked Questions on Remainder<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-a74989e0-5ff2-4195-82a8-98a0c4374d61\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-a74989e0-5ff2-4195-82a8-98a0c4374d61\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a74989e0-5ff2-4195-82a8-98a0c4374d61\"><strong>Is the remainder always 0?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-a74989e0-5ff2-4195-82a8-98a0c4374d61\">\n\n<p class=\"eplus-wrapper\">If a number divides the other number evenly, then the remainder is 0. If the number does not divide the other number completely, then the remainder is not 0.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-a74989e0-5ff2-4195-82a8-98a0c4374d61\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a74989e0-5ff2-4195-82a8-98a0c4374d61\"><strong>What is the rule for remainders?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-a74989e0-5ff2-4195-82a8-98a0c4374d61\">\n\n<p class=\"eplus-wrapper\">A remainder is always less than or equal to the divisor. If the remainder is greater than the divisor, then the long division is incomplete or has an error.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-a74989e0-5ff2-4195-82a8-98a0c4374d61\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a74989e0-5ff2-4195-82a8-98a0c4374d61\"><strong>What are the drawbacks in the long division method while finding the remainder?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-a74989e0-5ff2-4195-82a8-98a0c4374d61\">\n\n<p class=\"eplus-wrapper\">It is quite lengthy and when used with bigger digits, it becomes complicated.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-a74989e0-5ff2-4195-82a8-98a0c4374d61\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a74989e0-5ff2-4195-82a8-98a0c4374d61\"><strong>Are there quick tricks to find the remainder or any short formula?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-a74989e0-5ff2-4195-82a8-98a0c4374d61\">\n\n<p class=\"eplus-wrapper\">When you want to speed up the calculation you can use this formula instead of the division method:&nbsp;$Remainder = Dividend \\;-\\; (Divisor&nbsp;\\times Quotient)$<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-a74989e0-5ff2-4195-82a8-98a0c4374d61\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a74989e0-5ff2-4195-82a8-98a0c4374d61\"><strong>What does it mean when the remainder is zero?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-a74989e0-5ff2-4195-82a8-98a0c4374d61\">\n\n<p class=\"eplus-wrapper\">When the remainder is 0, it means that both the quotient and divisor are the factors of the dividend.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is a Remainder in Math? A remainder is something which is \u201cleft over\u201d or \u201cremaining.\u201d&nbsp; So, What does remainder mean in a division problem? The meaning of remainder is the leftover value or the remaining part after a division problem is called a remainder.&nbsp; In a division problem, there are two cases. Definition of &#8230; <a title=\"Remainder &#8211;\u00a0 Definition, Parts, Formula, Example\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder\" aria-label=\"More on Remainder &#8211;\u00a0 Definition, Parts, Formula, Example\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1313","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1313","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1313"}],"version-history":[{"count":14,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1313\/revisions"}],"predecessor-version":[{"id":41137,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1313\/revisions\/41137"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1313"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1313"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1313"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}