{"id":6162,"date":"2022-09-01T20:47:39","date_gmt":"2022-09-01T15:17:39","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-why-does-0-5-return-0\/"},"modified":"2022-09-01T20:47:39","modified_gmt":"2022-09-01T15:17:39","slug":"solved-why-does-0-5-return-0","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-why-does-0-5-return-0\/","title":{"rendered":"[Solved] Why does 0 % 5 return 0?"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-15594441\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"15594441\" data-parentid=\"15594352\" data-score=\"11\" data-position-on-page=\"1\" data-highest-scored=\"1\" data-question-has-accepted-highest-score=\"1\" itemprop=\"acceptedAnswer\" itemscope itemtype=\"https:\/\/schema.org\/Answer\">\n<div class=\"post-layout\">\n<div class=\"votecell post-layout--left\"><\/div>\n<div class=\"answercell post-layout--right\">\n<div class=\"s-prose js-post-body\" itemprop=\"text\">\n<p>Division is defined so that the following is always true<\/p>\n<blockquote>\n<p><em>n<\/em> = <em>q<\/em>  \u00d7 <em>d<\/em> + <em>r<\/em><\/p>\n<\/blockquote>\n<p>where<\/p>\n<ul>\n<li><em>n<\/em> is the numerator (or dividend),<\/li>\n<li><em>d<\/em> != 0 is the denominator (or divisor),<\/li>\n<li><em>q<\/em> is the quotient, and<\/li>\n<li><em>r<\/em> &gt; 0 is the remainder.<\/li>\n<\/ul>\n<p>(This holds for positive and negative values; <em>q<\/em> is positive if <em>n<\/em> and <em>d<\/em> have the same sign and negative otherwise. <em>r<\/em> is defined to be always positive.)<\/p>\n<p>In Python, <code>n\/d == q<\/code> and <code>n % d == r<\/code>. If <code>n<\/code> is 0, then <code>q<\/code> must also be 0, in which case <code>r<\/code> must be 0 as well\u2014all independent of the value of <code>d<\/code>.<\/p>\n<p>(Off-topic, but note that this also captures the problem with division by 0: for non-zero <em>d<\/em>, <em>q<\/em> and <em>r<\/em> are uniquely determined; for <em>d<\/em> = 0, <em>any<\/em> value of <em>q<\/em> will satisfy the equation for <em>r = n<\/em>.<\/p>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\">0<\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved Why does 0 % 5 return 0? <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] Division is defined so that the following is always true n = q \u00d7 d + r where n is the numerator (or dividend), d != 0 is the denominator (or divisor), q is the quotient, and r &gt; 0 is the remainder. (This holds for positive and negative values; q is positive if &#8230; <a title=\"[Solved] Why does 0 % 5 return 0?\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-why-does-0-5-return-0\/\" aria-label=\"More on [Solved] Why does 0 % 5 return 0?\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[349],"class_list":["post-6162","post","type-post","status-publish","format-standard","hentry","category-solved","tag-python"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>[Solved] Why does 0 % 5 return 0? - JassWeb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jassweb.com\/solved\/solved-why-does-0-5-return-0\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] Why does 0 % 5 return 0? - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] Division is defined so that the following is always true n = q \u00d7 d + r where n is the numerator (or dividend), d != 0 is the denominator (or divisor), q is the quotient, and r &gt; 0 is the remainder. 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