While learnermath.com does assume that visitors will have a prior understanding of division in Math.

The long division method is an approach to larger division sums that is worthwhile demonstrating here, including long division with remainders.

Long division is something that seems to intimidate quite a few people initially, but it really doesn’t turn out to be as tricky as some would believe.

We’ll show the steps involved in using the long division method, which can be applied to many large division sums when required.

## Long Division Method

Long Division with Remainders Examples

*(1.1)*864 ÷ 16

*Solution*__The first step here in performing long division, is to set the numbers up like we would with a short division sum.__

**1)****16 864**

For the first bit of division, 16 doesn’t go into 8, so we put a 0 above in the solution section.

**0**

16 864

16 864

But now 16 does go into 86. At this stage we ignore any remainders from division, in which case 16 goes into 86 five times.

**05**

16 864

16 864

__Next we multiply 16 by this 5. 16 × 5 = 80__

**2)**We then place this number below 86 in the dividend, subtract, then place the result below.

**05**

16 864

−

16 864

6

__80__6

__Now the next number in the dividend in brought down alongside the 6.__

**3)**Here this is 4, so we will have 64.

**05**

16 864

−

16 864

64

__80__64

This 64 is now divided by 16, and the result is placed appropriately above in the answer. 64 ÷ 16 = 4

**054**

16 864

−

16 864

64

__80__64

__Then it’s the same process again, this 4 from the answer is multiplied by our divisor 16.__

**4)**Followed by being subtracted from the number above.

**054**

16 864

−

16 864

**−**

64

__80__64

0

__64__0

The result is 0, and with no numbers in the dividend left to bring down, the long division is complete.

With no remainder in the answer.

__864 ÷ 16 = 54__

*(1.2)*658 ÷ 12 ?

*Solution*

**1)****12 658**

Firstly, 12 doesn’t go into 6, so we put a 0 above.

**0**

16 864

16 864

But ignoring remainders, 12 does go into 65 five times.

**05**

12 658

12 658

__Next we multiply 12 by the 5. 12 × 5 = 60__

**2)**We then place this number below 65 in the dividend, subtract, then place the result below.

**05**

12 658

−

12 658

5

__60__5

__The next number in the dividend can now be brought down alongside the 6, giving us 58.__

**3)****05**

12 658

−

12 658

58

__60__58

This 58, again ignoring remainders, can now be divided by 12, with the result is placed appropriately above in the answer.

58 ÷ 12 = 4

**054**

12 658

−

12 658

58

__60__58

__Now using same process again, this 4 from the answer is multiplied by the divisor 12.__

**4)**Followed by being subtracted from the number above.

**054**

12 864

−

12 864

**−**

58

__60__58

10

__48__10

The result of this is 10, and now with no numbers in the dividend left to bring down, the long division method is complete.

With the remaining 10 below, being the remainder in the answer.

658 ÷ 12 = 54 remainder 10

**Return to TOP of page**