{"id":1311,"date":"2022-04-18T11:01:32","date_gmt":"2022-04-18T11:01:32","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1311"},"modified":"2023-02-14T16:00:57","modified_gmt":"2023-02-14T16:00:57","slug":"quotient-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient","title":{"rendered":"Quotient \u2013 Definition with Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n\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=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-df6eb3de-9067-4611-b366-64acef7b8b32\" 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\/quotient#0-definition-of-quotient>Definition of Quotient<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient#1-different-forms-of-quotient>Different Forms of Quotient<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient#2-finding-quotients-by-repeated-subtraction>Finding Quotients by Repeated Subtraction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient#3-finding-quotients-by-long-division-method>Finding Quotients by Long Division Method<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient#4-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient#5-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-definition-of-quotient\">Definition of Quotient<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The number we obtain when we divide one number by another is the quotient.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, in 8 \u00f7 4 = 2; here, the result of the division is 2, so it is the quotient. 8 is the dividend and 4 is the divisor.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Note that the quotient and the divisor are always smaller than their dividend.<\/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\/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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-division-solution-where-dividend-is-between-6-9\" 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_6_to_9_b_pt.png\" alt=\"Complete the Division Solution Where Dividend is Between 6-9 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 Where Dividend is Between 6-9 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 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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"1-different-forms-of-quotient\">Different Forms of Quotient<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The quotient can be an integer or a decimal number.<\/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, the quotient is a whole number.<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">For example, 15 \u00f7 3 = 5 (whole number)<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">When a number is not completely divisible by another number, the quotient is a decimal number.<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">For example, 15 \u00f7 2 = 7.5 (decimal number)<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Such divisions leave a remainder, so there is another way of writing answers to such division problems, which is:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">15 \u00f7 2 = 7 R 1 (where, quotient = 7 and remainder = 1)<\/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\/check-the-estimated-quotients\" 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\/check-the-estimated-quotients.jpeg\" alt=\"Check the Estimated Quotients 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\/choose-the-best-estimate-of-the-quotients\" 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\/choose-the-best-estimate-of-the-quotients.jpeg\" alt=\"Choose the Best Estimate of the Quotients 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\/choose-the-better-estimate-of-the-quotient\" 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\/choose-the-better-estimate-of-the-quotient.jpeg\" alt=\"Choose the Better Estimate of the Quotient 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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const 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id=\"2-finding-quotients-by-repeated-subtraction\">Finding Quotients by Repeated Subtraction<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">It can be helpful to think of division as a<strong> repeated subtraction <\/strong>problem. To divide by repeated subtraction, we subtract the divisor from the dividend till we get a 0 or until subtraction is no longer possible. In this process, the number of times we subtract is the quotient.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Let\u2019s find the quotient of 20 \u00f7 5 using repeated subtraction.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">20 \u2013 5 = 15<\/p>\n\n\n\n<p class=\" eplus-wrapper\">15 \u2013 5 = 10<\/p>\n\n\n\n<p class=\" eplus-wrapper\">10 \u2013 5 = 5<\/p>\n\n\n\n<p class=\" eplus-wrapper\">5 \u2013 5 = 0&nbsp; (STOP)<\/p>\n\n\n\n<p class=\" eplus-wrapper\">We subtracted 5 four times to get a 0, so 4 is the quotient. That is, 20 \u00f7 5 = 4<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-finding-quotients-by-long-division-method\">Finding Quotients by Long Division Method<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">In math, long division is a method used for dividing large numbers into groups or parts. To divide a number using this method, a division house is drawn. The divisor is written outside the division house, while the dividend is placed within. The quotient is written on top of it.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Long Division involves five steps:<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>D<\/strong> \u2192 Divide<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>M<\/strong> \u2192 Multiply<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>S<\/strong> \u2192 Subtract<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>B<\/strong> \u2192 Bring Down<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>R<\/strong> \u2192 Repeat\/ Remainder<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>For example:<\/strong><\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"401\" height=\"280\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image2-10.png\" alt=\"Steps of Long Division\" class=\"wp-image-4406\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image2-10.png 401w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image2-10-300x209.png 300w\" sizes=\"auto, (max-width: 401px) 100vw, 401px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solved Examples<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1: Find the quotient: 28 \u00f7 3 using repeated subtraction.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">28 \u2013 3 = 25<\/p>\n\n\n\n<p class=\" eplus-wrapper\">25 \u2013 3 = 22<\/p>\n\n\n\n<p class=\" eplus-wrapper\">22 \u2013 3 = 19<\/p>\n\n\n\n<p class=\" eplus-wrapper\">19 \u2013 3 = 16<\/p>\n\n\n\n<p class=\" eplus-wrapper\">16 \u2013 3 = 13<\/p>\n\n\n\n<p class=\" eplus-wrapper\">13 \u2013 3 = 10<\/p>\n\n\n\n<p class=\" eplus-wrapper\">10 \u2013 3 = 7<\/p>\n\n\n\n<p class=\" eplus-wrapper\">7 \u2013 3 = 4<\/p>\n\n\n\n<p class=\" eplus-wrapper\">4 \u2013 3 = 1&nbsp; (3 cannot be subtracted from 1, so we stop here)<\/p>\n\n\n\n<p class=\" eplus-wrapper\">We subtracted 3 nine times to get , so, 4 is the quotient. That is, 20 \u00f7 5 = 4<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2: Find the quotient 153 \u00f7 7 using the long division method.<\/strong><\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"149\" height=\"227\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image1-19.png\" alt=\"Find the quotient using long division method\" class=\"wp-image-4409\"\/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Quotient = 21; Remainder = 6<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 3: Jack needs 2 mangoes to make a glass of mango juice. If he has 28 mangoes, how many glasses of mango juice can he make?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Number of mangoes with Jack = 28<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Number of mangoes required for 1 glass of juice =&nbsp; 2<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Number of glasses of juice Jack can make = 28 \u00f7 2<\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"125\" height=\"227\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image3-9.png\" alt=\"Find the quotient\" class=\"wp-image-4411\"\/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Number of glasses of juice Jack can make = 14 glasses<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Quotient<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Find the quotient: 15 \u00f7 3.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">5<\/div><div class=\"spq_answer_block\" data-value=\"2\">4<\/div><div class=\"spq_answer_block\" data-value=\"3\">2<\/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: 5<br\/>We know that, 3 \u2715 5 = 15, so, 15 \u00f7 3 = 5.<\/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\">Find the quotient: 90 \u00f7 3.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">30<\/div><div class=\"spq_answer_block\" data-value=\"1\">25<\/div><div class=\"spq_answer_block\" data-value=\"2\">20<\/div><div class=\"spq_answer_block\" data-value=\"3\">35<\/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: 30<br\/>We know that, 30 \u2715 3= 90, so, 90 \u00f7 3 = 5.<\/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\">Find the quotient 400 \u00f7 10.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">20<\/div><div class=\"spq_answer_block\" data-value=\"1\">40<\/div><div class=\"spq_answer_block\" data-value=\"2\">60<\/div><div class=\"spq_answer_block\" data-value=\"3\">50<\/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: 40<br\/>We know that, 40 \u2715 10 = 400, so, 400 \u00f7 10 = 40.<\/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        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   } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the quotient: 90 \u00f7 3.\",\n                    \"text\": \"Find the quotient: 90 \u00f7 3.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know that, 30 \u2715 3= 90, so, 90 \u00f7 3 = 5.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"25\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                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40.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"40\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that, 40 \u2715 10 = 400, so, 400 \u00f7 10 = 40.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that, 40 \u2715 10 = 400, so, 400 \u00f7 10 = 40.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-3adb552c-c59e-4452-8c9f-3e518b5af070\" 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-0-3adb552c-c59e-4452-8c9f-3e518b5af070\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3adb552c-c59e-4452-8c9f-3e518b5af070\"><strong>What Is the difference between quotient and product?<\/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-0-3adb552c-c59e-4452-8c9f-3e518b5af070\">\n\n<p>Quotient is the result of dividing two numbers and product is the result of multiplying two numbers.<\/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-1-3adb552c-c59e-4452-8c9f-3e518b5af070\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3adb552c-c59e-4452-8c9f-3e518b5af070\"><strong>What are the different terms related to division?<\/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-1-3adb552c-c59e-4452-8c9f-3e518b5af070\">\n\n<p>Dividend \u2192 the number to be divided<\/p>\n\n\n\n<p>Divisor \u2192 the number by which a dividend is divided<\/p>\n\n\n\n<p>Quotient \u2192 the result of dividing the dividend by the divisor<\/p>\n\n\n\n<p>Remainder \u2192 the number leftover after division<\/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-2-3adb552c-c59e-4452-8c9f-3e518b5af070\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3adb552c-c59e-4452-8c9f-3e518b5af070\"><strong>What is the difference between a quotient and a 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-2-3adb552c-c59e-4452-8c9f-3e518b5af070\">\n\n<p>The leftover part after division is known as the remainder while the quotient is the number we obtain when we divide one number by another. For perfect divisions, a quotient is a whole number, and the remainder is zero. In general, a remainder is sometimes accounted into the quotient, making it a decimal number.<\/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-3-3adb552c-c59e-4452-8c9f-3e518b5af070\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3adb552c-c59e-4452-8c9f-3e518b5af070\"><strong>How Can We Verify the Quotient in Division?<\/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-3-3adb552c-c59e-4452-8c9f-3e518b5af070\">\n\n<p>Dividend = Divisor \u00d7 Quotient + Remainder<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Definition of Quotient The number we obtain when we divide one number by another is the quotient.&nbsp; For example, in 8 \u00f7 4 = 2; here, the result of the division is 2, so it is the quotient. 8 is the dividend and 4 is the divisor.&nbsp; Note that the quotient and the divisor are &#8230; <a title=\"Quotient \u2013 Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient\" aria-label=\"More on Quotient \u2013 Definition with Examples\">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-1311","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\/1311","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=1311"}],"version-history":[{"count":12,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1311\/revisions"}],"predecessor-version":[{"id":24499,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1311\/revisions\/24499"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1311"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1311"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1311"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}