{"id":259929,"date":"2025-07-19T06:26:12","date_gmt":"2025-07-19T06:26:12","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=259929"},"modified":"2025-07-19T06:26:14","modified_gmt":"2025-07-19T06:26:14","slug":"what-is-the-quotient-and-remainder-of-400-divided-by-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/19\/what-is-the-quotient-and-remainder-of-400-divided-by-3\/","title":{"rendered":"What is the quotient and remainder of 400 divided by 3"},"content":{"rendered":"\n<p>What is the quotient and remainder of 400 divided by 3<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>When dividing 400 by 3, we are performing a division that yields both a quotient and a remainder. To solve this, we can use long division or a basic division approach.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Division Process:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide 400 by 3.<\/li>\n\n\n\n<li>3 goes into 4 <strong>1<\/strong> time (since 3 \u00d7 1 = 3).<\/li>\n\n\n\n<li>Subtract 3 from 4, leaving a remainder of 1.<\/li>\n\n\n\n<li>Bring down the 0 to make the number 10.<\/li>\n\n\n\n<li>3 goes into 10 <strong>3<\/strong> times (since 3 \u00d7 3 = 9).<\/li>\n\n\n\n<li>Subtract 9 from 10, leaving a remainder of 1.<\/li>\n\n\n\n<li>Bring down the next 0 to make the number 10 again.<\/li>\n\n\n\n<li>3 goes into 10 <strong>3<\/strong> times, and the process repeats.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Final Calculation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The quotient is <strong>133<\/strong> (this is the whole number result of the division).<\/li>\n\n\n\n<li>The remainder is <strong>1<\/strong> (this is what\u2019s left over after the division).<\/li>\n<\/ul>\n\n\n\n<p>Thus, when 400 is divided by 3, we can write the result as:400\u00f73=133&nbsp;(quotient)&nbsp;with&nbsp;a&nbsp;remainder&nbsp;of&nbsp;1400 \\div 3 = 133 \\text{ (quotient)} \\text{ with a remainder of } 1400\u00f73=133&nbsp;(quotient)&nbsp;with&nbsp;a&nbsp;remainder&nbsp;of&nbsp;1<\/p>\n\n\n\n<p>Alternatively, you could express this as:400=3\u00d7133+1400 = 3 \\times 133 + 1400=3\u00d7133+1<\/p>\n\n\n\n<p>This shows that when you multiply the quotient (133) by 3 and add the remainder (1), you get back to the original number (400).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Quotient:<\/strong> This is the number of times 3 fits into 400 without exceeding it.<\/li>\n\n\n\n<li><strong>Remainder:<\/strong> This is what is left after the division when 400 is not perfectly divisible by 3.<\/li>\n<\/ul>\n\n\n\n<p>This method of division is a standard way of finding both the quotient and the remainder when dividing numbers. The quotient is always a whole number, and the remainder is always smaller than the divisor (in this case, 3).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1024.jpeg\" alt=\"\" class=\"wp-image-259934\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the quotient and remainder of 400 divided by 3 The Correct Answer and Explanation is: When dividing 400 by 3, we are performing a division that yields both a quotient and a remainder. To solve this, we can use long division or a basic division approach. Division Process: Final Calculation: Thus, when 400 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-259929","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/259929","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=259929"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/259929\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=259929"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=259929"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=259929"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}