Long Division Method: Divide Large Numbers by 2-Digit Numbers

Long Division Method: Divide Large Numbers by 2-Digit Numbers

Supporting Lessons

Long Division Method for Dividing Larger Numbers: Worksheets and Answers

How to use the Long Division Method to Divide Larger Numbers by 2-Digit Numbers

To divide large numbers using the long division method, we set out the calculation as shown below.

8190 divided by 15 set out with the long division method

We will divide the digits of 8190 by 15.

8190 divided by 15 set out as long division

15 doesn’t divide into 8, so we will divide 81 by 15.

8190 divided by 15 set out as long division

To find out how many times 15 divides into 81, we can list some of the numbers in the 15 times table.

We can stop when we have gone past 81.

75 is the closest to 81 without gong past it.

15 x 5 = 75

So, 81 ÷ 15 = 5

We write the 5 above the 1.

To find the remainder of our division, we subtract 75 from 81.

8190 divided by 15 set out as long division

81 – 75 = 6

The remainder is 6.

We bring down the 9 and continue with the long division method.

8190 divided by 15 set out as long division

Next, we find out how many times 15 divides into 69.

We can see that 4 x 15 = 60. So, 15 divides into 69 four times.

To find the remainder, we subtract 60 from 69.

8190 divided by 15 set out as long division

69 – 60 = 9

The remainder is 9.

We bring down the 0 and continue with the long division method.

8190 divided by 15 = 546 set out as long division

From the 15 times table that we have written, we can see that 90 ÷ 15 = 6.

Therefore,

8190 ÷ 15 = 546

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