Long Division


  • From: Naser Mahmood
  • Date: 24 March 2000
  • Subject: How to do long division

Please show me how to do long division.


Maths Help suggests:

Long division is a way to divide a large number by another number with 2 or more digits.

Here is an example of a long division of a 6-digit number by a 2-digit number:

357481 ÷ 83

First, it is a good idea to work out the 83× table.
This is shown in the column on the right.

Set up the problem as shown on the right.

Look at the first digit inside the division.

83)357481

83 does not 'go into' 3.
Write 0 in the first column.

Now look at the first two digits.

83)357481

83 does not 'go into' 35.
Write 0 in the next column.

Now look at the first three digits.

83)357481

83 goes into 357 four times.
(LOOK AT THE TABLE ON THE RIGHT)
Write 4 in the next answer space.

83)357481

4 × 83 is 332.
Write 332 below 357.

83)357481

357 - 332 is 25.
Write 25 in the next row.

83)357481

Bring down the 4.
Write 4 next to the answer to the subtraction.

83)357481

83 goes into 254 three times.
Write 3 in the next answer space.

83)357481

3 × 83 is 249.
Write 249 below 254.

254 - 249 is 5.
Write 5 in the next row.

83)357481

Bring down the 8.

83)357481

83 does not go into 58.
Write 0 in the next answer space.

Bring down the 1.

83)357481

83 goes into 581 exactly seven times.
Write 7 in the next answer space.

83)357481

 

Multiples
of 83

 

1: 83

 

 

2: 166

 

 

3: 249

 

 

4: 332

 

 

5: 415

 

 

6: 498

 

 

7: 581

 

 

8: 664

 

 

9: 747

We have reached the end.
The last division went exactly, so there is no remainder.

The answer is:

357481 ÷ 83   =   4307


Back to topic list