{"id":156025,"date":"2024-10-16T20:12:46","date_gmt":"2024-10-16T20:12:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156025"},"modified":"2024-10-16T20:12:48","modified_gmt":"2024-10-16T20:12:48","slug":"what-is-the-quotient-and-remainder-of-39-divided-by-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/16\/what-is-the-quotient-and-remainder-of-39-divided-by-8\/","title":{"rendered":"What is the quotient and remainder of 39 divided by 8"},"content":{"rendered":"\n<p>What is the quotient and remainder of 39 divided by 8<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the quotient and remainder of ( 39 \\div 8 ), we can use the division algorithm, which states that for any integers ( a ) and ( b ) (where ( b &gt; 0 )), there exist unique integers ( q ) (the quotient) and ( r ) (the remainder) such that:<\/p>\n\n\n\n<p>[<br>a = bq + r<br>]<\/p>\n\n\n\n<p>where ( 0 \\leq r &lt; b ).<\/p>\n\n\n\n<p>In this case, we have:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( a = 39 )<\/li>\n\n\n\n<li>( b = 8 )<\/li>\n<\/ul>\n\n\n\n<p>To begin, we need to determine how many times ( 8 ) can fit into ( 39 ). We can do this by performing the division:<\/p>\n\n\n\n<p>[<br>39 \\div 8 = 4.875<br>]<\/p>\n\n\n\n<p>Since we need the integer part of the division, we take ( 4 ) as the quotient (( q )). To find the remainder (( r )), we multiply the quotient by the divisor:<\/p>\n\n\n\n<p>[<br>8 \\times 4 = 32<br>]<\/p>\n\n\n\n<p>Next, we subtract this product from the original number ( 39 ) to find the remainder:<\/p>\n\n\n\n<p>[<br>39 &#8211; 32 = 7<br>]<\/p>\n\n\n\n<p>Now, we have identified our values:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Quotient (( q ))<\/strong>: ( 4 )<\/li>\n\n\n\n<li><strong>Remainder (( r ))<\/strong>: ( 7 )<\/li>\n<\/ul>\n\n\n\n<p>Thus, we can express the division in the form of the division algorithm:<\/p>\n\n\n\n<p>[<br>39 = 8 \\times 4 + 7<br>]<\/p>\n\n\n\n<p>Finally, we verify the conditions for the remainder:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The remainder ( 7 ) is indeed less than the divisor ( 8 ).<\/li>\n\n\n\n<li>The remainder is non-negative.<\/li>\n<\/ol>\n\n\n\n<p>Therefore, the complete answer is that when ( 39 ) is divided by ( 8 ), the <strong>quotient is ( 4 )<\/strong>, and the <strong>remainder is ( 7 )<\/strong>.<\/p>\n\n\n\n<p>This process illustrates how division can be interpreted not just as finding a single answer but as a way to break down a number into more manageable parts, confirming the division&#8217;s integrity through the relationship defined by the division algorithm.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the quotient and remainder of 39 divided by 8 The Correct Answer and Explanation is: To find the quotient and remainder of ( 39 \\div 8 ), we can use the division algorithm, which states that for any integers ( a ) and ( b ) (where ( b &gt; 0 )), there [&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-156025","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156025","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=156025"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156025\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156025"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156025"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156025"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}