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’s pick 8 as a quotient, then
5 x 8 = 40 > 37
Which means that 8 cannot be a quotient.
Let’s pick 7 as quotient.
5 x 7 = 35 < 37
So 7 MAY be a quotient.
Let’s subtract 37 from 35
37 – 35 = 2
2 is the remainder and 2 is smaller than 5 so, 37 / 5 = 7 Remainder 2
This is what you should do when doing long division. For example,
375 / 7
First check if the first digit is greater than 7. 3<7, so skip the first digit.
Now, check if first two digit is greater than 7. 37 > 7. So we divide 37 with 7
We get quotient 5 and Remainder 2.
Now bring down 2 and 5 and make it 25.
Divide 25 with 7.
We get Quotient 3, and remainder 4.
So we put quotient 5 and 3 together to get 53.
The remainder is what we go in the last which is 4.
So 375/7 = 53 Remainder4.
Always check if your remainder is less than the number you divide. In this case, 4< 7 so it is right.
Other example would be
1467/3
First check if 1/3 no
Now 14/3 => Quotient 4 and remainder 2
Put remainder and 6, 26/3 => Quotient 8 and remainder 2
Put remainder and 7, 27/3 => Quotient 9 and remainder 0
There for put all quotients together which is 489 with remainder 0.
Tutors for Math are available if you need more help.
This article was written for you by Edmond, one of the tutors with SchoolTutoring Academy
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