{"id":34130,"date":"2023-09-13T15:33:51","date_gmt":"2023-09-13T15:33:51","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34130"},"modified":"2023-09-17T15:54:01","modified_gmt":"2023-09-17T15:54:01","slug":"binary-division-rules-steps-tricks-facts-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/binary-division","title":{"rendered":"Binary Division &#8211; Rules, Steps, Tricks, Facts, Examples, FAQs"},"content":{"rendered":"<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-8eff9294-1764-45ea-88f3-806e7d4e73fd\" 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\/binary-division#0-what-is-binary-division>What Is Binary Division?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/binary-division#1-what-are-binary-division-rules>What Are Binary Division Rules?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/binary-division#2-how-to-do-binary-division>How To Do Binary Division<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/binary-division#6-solved-examples-on-binary-division>Solved Examples on Binary Division<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/binary-division#7-practice-problems-on-binary-division>Practice Problems on Binary Division<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/binary-division#8-frequently-asked-questions-about-binary-division>Frequently Asked Questions about Binary Division<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-binary-division\">What Is Binary Division?<\/h2>\n\n\n\n<p>The process of binary division is performed on binary numbers and it is pretty similar to the division of decimal numbers. The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/base\">base<\/a> of the binary <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-system\">number system<\/a> is 2. It uses only two digits (0 and 1) when performing the division of binary numbers. The binary division procedure involves both binary multiplication and binary subtraction.&nbsp;<\/p>\n\n\n\n<p>The \u2018bi\u2019 in the term \u2018binary\u2019 means two. Several computer technologies are based on the binary number system. Therefore, it is crucial to understand the basic operations that you can carry out on binary numbers.<\/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 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\" id=\"1-what-are-binary-division-rules\">What Are Binary Division Rules?<\/h2>\n\n\n\n<p>To carry out our binary division, we must keep in mind the following four rules.&nbsp;<\/p>\n\n\n\n<p><strong>Binary Division Rules:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Dividing 1 by 1 gives 1.<br><br>1 \u00f7 1 = 1<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Dividing 0 by 1 gives zero.<br><br>0 \u00f7 1 = 0<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Dividing 0 by 0 is meaningless.<br><br>0 \u00f7 0= Meaningless<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Dividing 1 by 0 is meaningless.\u00a0<br><br>1 \u00f7 0 = Meaningless<\/li>\n<\/ul>\n\n\n\n<p>Let\u2019s summarize!<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Binary Division Rules<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">1 \u00f7 1 = 1<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">0 \u00f7 1 = 0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Division by 0 is meaningless.<br>1 \u00f7 0 = Meaningless<br>0 \u00f7 0 = Meaningless\u00a0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>These four rules must be followed when carrying out binary division.<\/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    <\/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\/create-equal-groups-and-write-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\/create-equal-groups-and-write-division-expressions.jpeg\" alt=\"Create Equal Groups and Write 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\/create-equivalent-fractions-using-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\/create-equivalent-fractions-using-division.jpeg\" alt=\"Create Equivalent Fractions using Division 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 cards = 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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\" id=\"2-how-to-do-binary-division\">How To Do Binary Division<\/h2>\n\n\n\n<p>There are different ways to do binary division. The simplest way is the long division method. Just like decimal division, there are four key steps involved in the binary division.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Divide<\/strong> the suitable digits of the dividend and record the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient\">quotient<\/a>.<\/li>\n\n\n\n<li><strong>Multiply<\/strong> the divisor by the quotient and write the product below.<\/li>\n\n\n\n<li><strong>Subtract<\/strong> the product from the dividend and write the difference below.<\/li>\n\n\n\n<li><strong>Bring<\/strong> down the next digit and repeat.<\/li>\n<\/ul>\n\n\n\n<p>Let\u2019s recall the binary subtraction and binary multiplication rules as we will be using those in the long division method.<\/p>\n\n\n\n<p><strong>Binary Subtraction Rules:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0 \u2013 0 = 0<\/li>\n\n\n\n<li>1 \u2013 0 = 1<\/li>\n\n\n\n<li>1 \u2013 1 = 0<\/li>\n\n\n\n<li>0 \u2013 1 = 1 (Borrow 1)<\/li>\n<\/ul>\n\n\n\n<p><strong>Binary Multiplication Rules:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0 \u00d7 0 = 0<\/li>\n\n\n\n<li>0 \u00d7 1 = 0<\/li>\n\n\n\n<li>1 \u00d7 0 = 0<\/li>\n\n\n\n<li>1 \u00d7 1 = 1&nbsp; [borrow or carry over is not applicable.]<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-binary-long-division\">Binary Long Division<\/h2>\n\n\n\n<p>The process of binary long division is similar to that of the decimal number system. It comprises dividing, multiplying, subtracting, and bringing down.<\/p>\n\n\n\n<p>Let\u2019s understand the binary division with steps.&nbsp;<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Compare the first two numbers of the dividend with the divisor. If the divisor is larger, write 0 as the quotient, then bring the second bit of the dividend down. If the divisor is smaller, multiply it with 1 and the result becomes the subtrahend. Add the suitable number in the quotient place.&nbsp;<\/p>\n\n\n\n<p><strong>Step 2:<\/strong>&nbsp; Multiply the divisor by the number written at the quotient and subtract the value.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Now, bring down the next number (bit) of the dividend and repeat the first two steps.&nbsp;<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Repeat the process till you get remainder 0 or reach the end of the dividend.&nbsp;<\/p>\n\n\n\n<p>The resultant quotient will be your answer.<\/p>\n\n\n\n<p><strong>Example 1: <\/strong><strong>1110 \u00f7 111<\/strong><\/p>\n\n\n\n<p>Dividend = 1110<\/p>\n\n\n\n<p>Divisor = 111<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"390\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-1110-by-111.png\" alt=\"Binary division of 1110 by 111\" class=\"wp-image-34137\" title=\"Binary division of 1110 by 111\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-1110-by-111.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-1110-by-111-300x188.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p>Let\u2019s understand the steps we followed here.<\/p>\n\n\n\n<p><strong>Step 1:&nbsp; Comparison.<\/strong><\/p>\n\n\n\n<p>Comparing the divisor 111 and the first digit of 1110, we get<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>111 &gt; 1 (divisor is larger)&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>So we can write 0 at the first place of the quotient and move ahead to compare the first two digits.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Next, 111 &gt; 11 (divisor is larger)<\/li>\n<\/ul>\n\n\n\n<p>Again write 0 at the quotient place (now there are two 0\u2019s) and move ahead.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Next, 111 = 111&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>Thus, write 1 as the third digit of the quotient.<\/p>\n\n\n\n<p><strong>Step 2: Multiply and subtract.<\/strong><\/p>\n\n\n\n<p>111 multiplied by 1 is 111.&nbsp;<\/p>\n\n\n\n<p>Write 111 below 111 and subtract.<\/p>\n\n\n\n<p>Subtracting 111 from 111 results in 0.<\/p>\n\n\n\n<p><strong>Step 3: Bring down.<\/strong><\/p>\n\n\n\n<p>Bring down the next digit of the dividend which is 0.<\/p>\n\n\n\n<p>Now we will repeat the first two steps.<\/p>\n\n\n\n<p>111 &gt; 00 (divisor is larger than the dividend).<\/p>\n\n\n\n<p>So, we place 0 at the quotient and get the remainder 0.<\/p>\n\n\n\n<p>The answer here is 0010<sub>2<\/sub>.<\/p>\n\n\n\n<p>We can ignore the first two insignificant digits.<\/p>\n\n\n\n<p>Thus, <strong>1110<\/strong><sub>2<\/sub><strong> \u00f7 111<\/strong><sub>2<\/sub><strong> = <\/strong>10<sub>2<\/sub><\/p>\n\n\n\n<p><strong>Example 2: <\/strong>11100 \u00f7 10<\/p>\n\n\n\n<p>Dividend: 11100<\/p>\n\n\n\n<p>Divisor: 10<\/p>\n\n\n\n<p>Now, the division can be carried out in a step-by-step process, as you would do for a decimal number.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"523\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-number-11100-by-10.png\" alt=\"Binary division of number 11100 by 10\" class=\"wp-image-34138\" title=\"Binary division of number 11100 by 10\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-number-11100-by-10.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-number-11100-by-10-300x253.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p>The quotient is 1110<sub>2<\/sub>.<\/p>\n\n\n\n<p>11100<sub>2<\/sub> \u00f7 10<sub>2 <\/sub>= 1110<sub>2<\/sub><\/p>\n\n\n\n<p><strong>How to Verify Your Answer in the Binary Division (Bold)<\/strong><\/p>\n\n\n\n<p>Here is how you can verify the answer of the binary division problem using the decimal number system. In the previous example, we calculated<\/p>\n\n\n\n<p>11100<sub>2<\/sub> \u00f7 10<sub>2 <\/sub>= 111010<sub>2<\/sub><\/p>\n\n\n\n<p>Here,<\/p>\n\n\n\n<p>(11100)<sub>2<\/sub> = 28<\/p>\n\n\n\n<p>(010)<sub>2<\/sub> = (10)<sub>2<\/sub> = 2<\/p>\n\n\n\n<p>We know that 28 \u00f7 2 = 14.<\/p>\n\n\n\n<p>So, the binary equivalent of 14 is 1110<sub>2<\/sub>.<\/p>\n\n\n\n<p>Thus, the answer is correct.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"471\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-and-the-equivalent-decimal-division.png\" alt=\"Binary division and the equivalent decimal division\" class=\"wp-image-34140\" title=\"Binary division and the equivalent decimal division\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-and-the-equivalent-decimal-division.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-and-the-equivalent-decimal-division-300x228.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-facts-about-binary-division\">Facts about Binary Division<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><tbody><tr><td>You can also perform binary division by first converting the two binary numbers (dividend and divisor) to decimal numbers. Divide them by the regular decimal long division and convert the resulting quotient back to binary form.Just like in the binary division, division by 0 is also not defined in the decimal system.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p>The binary division can be performed easily using the long division method. In this article, we learned about the binary division, its rules, formulas, steps for the long division method and a variety of examples. Let\u2019s solve a few examples based on the binary division and try to solve a few MCQs.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-solved-examples-on-binary-division\">Solved Examples on Binary Division<\/h2>\n\n\n\n<p><strong>Example 1: Divide: 10010 by 11.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Divisor: 11&nbsp;<\/p>\n\n\n\n<p>Dividend: 10010<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"170\" height=\"222\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-10010-by-11.png\" alt=\"Binary division of 10010 by 11\" class=\"wp-image-34141\" title=\"Binary division of 10010 by 11\"\/><\/figure>\n\n\n\n<p>Here\u2019s how we do it:<\/p>\n\n\n\n<p><strong>Step 1: Compare dividend and divisor.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>11 &gt; 10 (divisor is larger)<\/li>\n<\/ul>\n\n\n\n<p>So, write 0 at the first position of the quotient and move ahead.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>11 &lt; 100 (divisor is smaller)<\/li>\n<\/ul>\n\n\n\n<p>Write 1 at the next position in the quotient.&nbsp;<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> <strong>Multiply and subtract.<\/strong><\/p>\n\n\n\n<p>11 multiplying by 1 is 11.<\/p>\n\n\n\n<p>Subtracting 11 from 100, we get 1.<\/p>\n\n\n\n<p>Here\u2019s how we do the binary subtraction. (Check out the binary subtraction rules mentioned earlier to understand this.)&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"239\" height=\"176\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-subtraction-used-in-the-binary-division.png\" alt=\"Binary subtraction used in the binary division\" class=\"wp-image-34142\" title=\"Binary subtraction used in the binary division\"\/><\/figure>\n\n\n\n<p><strong>Step 3: Bring down.<\/strong><\/p>\n\n\n\n<p>Bring down the next digit of the dividend, which is 1.<\/p>\n\n\n\n<p>Now, we need to divide 11 by 11.<\/p>\n\n\n\n<p>It is simple. Write 1 at the next position in the quotient.<\/p>\n\n\n\n<p>11 multiplied by 1 is 11.<\/p>\n\n\n\n<p>11 subtracted from 11 is 0.<\/p>\n\n\n\n<p>Thus, 10010<sub>2<\/sub> \u00f7 11<sub>2<\/sub> = 110<sub>2<\/sub><\/p>\n\n\n\n<p><strong>Example 2: Divide 100100<\/strong><strong><sub>2<\/sub><\/strong><strong> by 100<\/strong><strong><sub>2<\/sub><\/strong><strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Dividend: 100100<strong><sub>2<\/sub><\/strong><\/p>\n\n\n\n<p>Divisor: 100<strong><sub>2<\/sub><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"493\" height=\"268\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-100100-by-100.png\" alt=\"Binary division of 100100 by 100\" class=\"wp-image-34143\" title=\"Binary division of 100100 by 100\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-100100-by-100.png 493w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-100100-by-100-300x163.png 300w\" sizes=\"auto, (max-width: 493px) 100vw, 493px\" \/><\/figure>\n\n\n\n<p>Thus, 100100<sub>2<\/sub> \u00f7 100<sub>2<\/sub> = 1001<sub>2<\/sub>&nbsp;<\/p>\n\n\n\n<p><strong>Example 3: Find the answer of the binary division <\/strong><strong>10101<\/strong><strong><sub>2<\/sub><\/strong><strong> <\/strong><strong>\u00f7<\/strong><strong> 11<\/strong><strong><sub>2<\/sub><\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p><strong>10101<\/strong><strong><sub>2<\/sub><\/strong><strong> <\/strong><strong>\u00f7<\/strong><strong> 11<\/strong><strong><sub>2 <\/sub><\/strong><strong>= 111<\/strong><strong><sub>2<\/sub><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"450\" height=\"340\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-10101-by-11.png\" alt=\"Binary division of 10101 by 11\" class=\"wp-image-34144\" title=\"Binary division of 10101 by 11\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-10101-by-11.png 450w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/binary-division-of-10101-by-11-300x227.png 300w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-practice-problems-on-binary-division\">Practice Problems on Binary Division<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Binary Division - Rules, Steps, Tricks, Facts, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is 1 \u00f7 0 as per the binary division rule?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">always 0<\/div><div class=\"spq_answer_block\" data-value=\"2\">10<\/div><div class=\"spq_answer_block\" data-value=\"3\">Meaningless<\/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: Meaningless<br\/>According to the rules of binary division rule, the division by 0 is meaningless.<\/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\">What would you get on dividing 0 by 1?<\/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\">undefined<\/div><div class=\"spq_answer_block\" data-value=\"3\">10<\/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\/>According to the rules of binary division, 0 divided by 1 is 0.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the answer to the binary division 1102 \u00f7 102?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$10_{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$101_{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$11_{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$110_{2}$<\/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: $11_{2}$<br\/>$110_{2} \\div 10_{2} = 11_{2}$<\/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\">$100_{2} \\div 10_{2} =$ ?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$0_{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$1_{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$10_{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$11_{2}$<\/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: $10_{2}$<br\/>$100_{2} \\div 10_{2} = 10_{2}$<\/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\": \"Binary Division - Rules, Steps, Tricks, Facts, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Binary Division\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n         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\"text\": \"According to the rules of binary division rule, the division by 0 is meaningless.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"always 0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the rules of binary division rule, the division by 0 is meaningless.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the rules of binary division rule, the division by 0 is meaningless.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Meaningless\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"According to the rules of binary division rule, the division by 0 is meaningless.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"According to the rules of binary division rule, the division by 0 is meaningless.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What would you get on dividing 0 by 1?\",\n                    \"text\": \"What would you get on dividing 0 by 1?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"According to the rules of binary division, 0 divided by 1 is 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\": 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\"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the rules of binary division, 0 divided by 1 is 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\": \"According to the rules of binary division, 0 divided by 1 is 0.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"According to the rules of binary division, 0 divided by 1 is 0.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the answer to the binary division 1102 \u00f7 102?\",\n                    \"text\": \"What is the answer to the binary division 1102 \u00f7 102?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$110_{2} \\\\div 10_{2} = 11_{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$10_{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$110_{2} \\\\div 10_{2} = 11_{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$101_{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$110_{2} \\\\div 10_{2} = 11_{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$110_{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$110_{2} \\\\div 10_{2} = 11_{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$11_{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$110_{2} \\\\div 10_{2} = 11_{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$110_{2} \\\\div 10_{2} = 11_{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$100_{2} \\\\div 10_{2} =$$ ?\",\n                    \"text\": \"$$100_{2} \\\\div 10_{2} =$$ ?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$100_{2} \\\\div 10_{2} = 10_{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$0_{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$100_{2} \\\\div 10_{2} = 10_{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1_{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$100_{2} \\\\div 10_{2} = 10_{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$11_{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$100_{2} \\\\div 10_{2} = 10_{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$10_{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$100_{2} \\\\div 10_{2} = 10_{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$100_{2} \\\\div 10_{2} = 10_{2}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-frequently-asked-questions-about-binary-division\">Frequently Asked Questions about Binary Division<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-687f8483-67f5-417b-8ee2-acbec221ea25\" 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-0-687f8483-67f5-417b-8ee2-acbec221ea25\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-687f8483-67f5-417b-8ee2-acbec221ea25\"><strong>Why does the binary number system have only two numbers?<\/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-0-687f8483-67f5-417b-8ee2-acbec221ea25\">\n\n<p>The base of the binary system is two. The base of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-system\">number system<\/a> refers to the total number of digits used in the given number system.\u00a0 Thus, it uses only two numbers 0 and 1 to form other 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-1-687f8483-67f5-417b-8ee2-acbec221ea25\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-687f8483-67f5-417b-8ee2-acbec221ea25\"><strong>Which arithmetic operations can be performed on binary numbers?<\/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-1-687f8483-67f5-417b-8ee2-acbec221ea25\">\n\n<p>It is possible to perform all arithmetic operations on binary numbers. You can add, multiply, subtract, and divide binary numbers, just like decimal numbers. However, you must keep in mind the specific rules for each operation.<\/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-2-687f8483-67f5-417b-8ee2-acbec221ea25\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-687f8483-67f5-417b-8ee2-acbec221ea25\"><strong>What is the binary division of 101010 by 110?<\/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-2-687f8483-67f5-417b-8ee2-acbec221ea25\">\n\n<p>The binary number 101010 is equivalent to 42, while 110 is the same as 6 in the decimal number system. Therefore, by dividing 42 by 6, we get 7 as the quotient. We can convert 7 to its binary form to obtain the answer. The answer will be 111.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Binary Division? The process of binary division is performed on binary numbers and it is pretty similar to the division of decimal numbers. The base of the binary number system is 2. It uses only two digits (0 and 1) when performing the division of binary numbers. The binary division procedure involves both &#8230; <a title=\"Binary Division &#8211; Rules, Steps, Tricks, Facts, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/binary-division\" aria-label=\"More on Binary Division &#8211; Rules, Steps, Tricks, Facts, Examples, FAQs\">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-34130","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\/34130","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=34130"}],"version-history":[{"count":6,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34130\/revisions"}],"predecessor-version":[{"id":34148,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34130\/revisions\/34148"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34130"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34130"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}