Let's say we wanted to solve the calculation 993 ÷ 12 using the formal long division method. First, you need to set out your calculation so that the dividend (in this case, 993) is underneath the 'bus stop' and the divisor (12) is outside it, like this:
Long Division Year 6
Difficult Division - Lesson 4: Long Division
This Difficult Division Year 6 planning pack teaches your KS2 children how to solve and check division calculations using a number of written methods, including: expressing remainders as fractions...
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Long Division Year 6
How does the long division method work?
We start by looking at the first digit of the dividend. There are no 12s in 9 because 12 is bigger than 9, so we include the next digit along too. In this case, 99. So now we need to work out how many lots of 12 there are in 99:
There are 8 lots of 12 in 99 (8x12=96) so we will record the 8 above the 99:
We will then write 96 underneath 99 because this is the product of 8x12. Notice how the place value columns align:
Now we’re going to take 96 away from 99 using column subtraction which gives us 3:
Our next step is to bring the next digit down to make a two-digit number:
Now we’ll work out how many lots of 12 there are in 33. The answer is 2 so we will record this above the bar:
We’re going to write 24 under 33 because 2 x 12 = 24:
We’re going to take 24 away from 33 now using column subtraction:
Because we can’t divide 9 by 12, this is our remainder.
This means that the answer is 82 remainder 9.
Once you have cracked the method, you can use it to divide any number by a two-digit number.
