While long multiplication involves multiplying and addition, long division includes dividing and subtraction.<\/p>\n
<\/p>\n
For example,<\/p>\n
37 \/ 5<\/p>\n
To solve this question, you need to find the quotient first. Let\u2019s pick 8 as a quotient, then<\/p>\n
5 x 8 = 40 > 37<\/p>\n
Which means that 8 cannot be a quotient.<\/p>\n
Let\u2019s pick 7 as quotient.<\/p>\n
5 x 7 = 35 < 37<\/p>\n
So 7 MAY be a quotient.<\/p>\n
Let\u2019s subtract 37 from 35<\/p>\n
37 \u2013 35 = 2<\/p>\n
2 is the remainder and 2 is smaller than 5 so, 37 \/ 5 = 7 Remainder 2<\/p>\n
<\/p>\n
This is what you should do when doing long division. For example,<\/p>\n
<\/p>\n
375 \/ 7<\/p>\n
<\/p>\n
First check if the first digit is greater than 7. 3<7, so skip the first digit.<\/p>\n
Now, check if first two digit is greater than 7. 37 > 7. So we divide 37 with 7<\/p>\n
We get quotient 5 and Remainder 2.<\/p>\n
Now bring down 2 and 5 and make it 25.<\/p>\n
Divide 25 with 7.<\/p>\n
We get Quotient 3, and remainder 4.<\/p>\n
So we put quotient 5 and 3 together to get 53.<\/p>\n
The remainder is what we go in the last which is 4.<\/p>\n
So 375\/7 = 53 Remainder4.<\/p>\n
<\/p>\n
Always check if your remainder is less than the number you divide. In this case, 4< 7 so it is right.<\/p>\n
<\/p>\n
Other example would be<\/p>\n
1467\/3<\/p>\n
First check if 1\/3 no<\/p>\n
Now 14\/3 => Quotient 4 and remainder 2<\/p>\n
Put remainder and 6, 26\/3 => Quotient 8 and remainder 2<\/p>\n
Put remainder and 7, 27\/3 => Quotient 9 and remainder 0<\/p>\n
There for put all quotients together which is 489 with remainder 0.<\/p>\n
<\/p>\n
Tutors for Math<\/a> are available if you need more help.<\/p>\n This article was written for you by Edmond<\/strong>, one of the tutors with SchoolTutoring Academy<\/span><\/p>\n SchoolTutoring Academy<\/span> is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Jacksonville, FL visit: Tutoring in Jacksonville. <\/a><\/p>\n","protected":false},"excerpt":{"rendered":" While long multiplication involves multiplying and addition, long division includes dividing and subtraction. For example, 37 \/ 5 To solve this question, you need to find the quotient first. Let\u2019s pick 8 as a quotient, then 5 x 8 = 40 > 37 Which means that 8 cannot be a quotient. Let\u2019s pick 7 […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[11],"tags":[851,1196,2177,2382],"class_list":["post-5104","post","type-post","status-publish","format-standard","hentry","category-math-fundamentals","tag-how-do-you-have-no-remainder","tag-no-remainder-in-division","tag-what-is-a-quotent","tag-what-is-long-division"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/5104","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=5104"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/5104\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=5104"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=5104"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=5104"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}