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.
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 Examples
(1.1)
864 ÷ 16
Solution
1) The first step here in performing long division, is to set the numbers up like we would with a short division sum.
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
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
2) Next we multiply 16 by this 5. 16 × 5 = 80
We then place this number below 86 in the dividend, subtract, then place the result below.
05
16 864
− 80
6
3) Now the next number in the dividend in brought down alongside the 6.
Here this is 4, so we will have 64.
05
16 864
− 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
− 80
64
4) Then it’s the same process again, this 4 from the answer is multiplied by our divisor 16.
Followed by being subtracted from the number above.
054
16 864
− 80
64
− 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
But ignoring remainders, 12 does go into 65 five times.
05
12 658
2) Next we multiply 12 by the 5. 12 × 5 = 60
We then place this number below 65 in the dividend, subtract, then place the result below.
05
12 658
− 60
5
3) The next number in the dividend can now be brought down alongside the 6, giving us 58.
05
12 658
− 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
− 60
58
4) Now using same process again, this 4 from the answer is multiplied by the divisor 12.
Followed by being subtracted from the number above.
054
12 864
− 60
58
− 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