Number
LONG DIVISION
This is where you divide by a number larger than 9.
There are two main methods we can use to do this.
METHOD 1
Use the same method as with short division.
EXAMPLES
Working out
(i)
1 2
11) 1 322
(ii)
7 1
12) 8 5 2
1
(iii)
3 4 8
21) 7 3100168
12 x
7
84
21 x
3
63
73 63
1 0
21 x
4
84
100 84
1 6
HINT:
1. Set the sum out carefully, giving yourself plenty of space.
2. Make sure the answers go above the correct numbers.
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3. Leave extra space at the side for working out.
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21 x
8
168
Number
METHOD 2
EXAMPLES
When you use this method all your working out is in the sum.
(i)
132 divided by 11
(ii)
Stage 1:
1
11) 1 3 2
- 11
2
Stage 2:
12
11) 1 3 2
- 1 1
22
- 22
00
11 into 13 goes 1
remainder 2
bring down the next number
11 into 22 goes 2 with no remainder
852 divided by 12
(iii)
Stage 1:
7
12) 8 5 2
- 84
1
Stage 2:
71
12) 8 5 2
- 8 4
12
- 12
00
12 into 85 goes 7
remainder 1
bring down the next number
12 into 12 goes 1 with no remainder
7308 divided by 21
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348
21) 7 3 0 8
- 6 3
100
- 84
168
- 168
000
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Number
Decide which method you prefer to use. You could have a go at both
methods if you wish.
Now try the exercise below.
1)
14) 420
2)
32) 6432
3)
25) 2575
4)
12) 11292
5)
22) 488
6)
14) 298
7)
672 bottles have to be packed in crates of 12. How many
crates will be needed?
8)
Teresa buys a second hand car costing £630. She decides to
pay it back over 18 months. How much does she pay each
month?
9)
A £560 bonus is shared between 16 workers. How much will
they each receive?
10)
Mike has a bill for £186.75 which he intends to pay over 15
months. How much will he pay each month?
11)
Marie earns £8940 a year. How much will she get on average
each month?
12)
Tracey is told she will earn £12 540 a year. What should she
get each month?
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Check your answers, then discuss with your tutor what you need to
work on next.
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Number
Answers
Long Division
30
2)
201
3)
103
4)
941
5)
22 r4
6)
21 r4
7)
56 crates
8)
£35
9)
£35
10)
£12.45
11)
£745
12)
£1045
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