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space saver
short long
Division
Short division 369 ÷ 3 can be written like this:
Divide 3 into 369, one digit at a time
Start with the digit 3.
Put the result of each answer on top of the line.
3 3 6 9
396 ÷ 3 = 132
The 3 into 3 goes 1 time
exactlyThe 3 into 9 goes 3 times
exactly
3 into 6 goes 2 times
1 2 3
Short division 675 ÷ 5 can be written like this:
Divide 5 into 675, one digit at a time
Start with the digit 6.
Put the result of each answer on top of the line.
5 6 7 5
675 ÷ 5 = 135
The 5 into 6 goes 1 time with 1 left
over to carryThe 5 into 25 goes 5 times
exactly
5 into 17 goes 3
times with 2 left over to
carry
1 3 51 2
Long division part 1598 ÷ 13 can be written like this:
1 3 5 9 8
13 into 59 goes 4 times
4
2-5
7
1 x 13 = 13
2 x 13 = 26
3 x 13 = 39
4 x 13 = 52
5 x 13 = 65
6 x 13 = 78
7 x 13 = 91
8 x 13 = 104
9 x 13 = 117
Tip: Make a times table to help
4 x 13 = 52
59 – 52 = 7
Long division part 2 598 ÷ 13 can be written like this:
1 3 5 9 8
13 into 78 goes 6 times
4 6
2-5
7
Bring down the 8 to make 788
-7 8
1 x 13 = 13
2 x 13 = 26
3 x 13 = 39
4 x 13 = 52
5 x 13 = 65
6 x 13 = 78
7 x 13 = 91
8 x 13 = 104
9 x 13 = 117
6 x 13 = 78
78 – 78 = 0
598 ÷ 13 = 46
Long division part 13195 ÷ 15 can be written like this:
1 5 3 1 9 5
15 into 31 goes 2 times.
0-31
1 x 15 = 15
2 x 15 = 30
3 x 15 = 45
4 x 15 = 60
5 x 15 = 75
6 x 15 = 90
7 x 15 = 105
8 x 15 = 120
9 x 15 = 135
Tip: Make a times table to help
2
2 x 15 = 30.
31 – 30 = 1
Long division part 23195 ÷ 15 can be written like this:
1 5 3 1 9 5
15 into 19 goes 1 times.
1
0-31
Bring down the 9 to make 19
9-1 5
1 x 15 = 15
2 x 15 = 30
3 x 15 = 45
4 x 15 = 60
5 x 15 = 75
6 x 15 = 90
7 x 15 = 105
8 x 15 = 120
9 x 15 = 135
2
1 x 15 = 15
19 – 15 = 4
4
Long division part 33195 ÷ 15 can be written like this:
1 5 3 1 9 5
15 into 45 goes 3 times.
1 3
3195 ÷ 15 =
0-31 Bring down
the 5 to make 45
9-1 5
1 x 15 = 15
2 x 15 = 30
3 x 15 = 45
4 x 15 = 60
5 x 15 = 75
6 x 15 = 90
7 x 15 = 105
8 x 15 = 120
9 x 15 = 135
2
3 x 15 = 45.
45 – 45 = 0
45-4 5
213
Space saver division is like short division but with larger numbers.156 ÷ 13 can be written like this:
Divide 13 into 156. Start with the digit 1,
but this is not enough.
Then say, 13 into 15 and continue.
Put the result of each answer on top of the line.
1 3 1 5 6
156 ÷ 13 = 12
13 into 15 goes 1 time and 2 left
over to carry
13 into 26 goes 2 times
exactly
1 22
A times table for 13 would be helpful with this method
Space saver division 480 ÷ 15 can be written like this:
Divide 15 into 480. Start with the digit 4,
but this is not enough.
Then say, 15 into 48 and continue.
Put the result of each answer on top of the line.
1 5 4 8 0
480 ÷ 15 = 32
15 into 48 goes 3 time
and 3 left over to carry
15 into 30 goes 2 times
exactly
3 23
A times table for 15 would be helpful with this method
Space saver division with larger numbers3645 ÷ 15 can be written like this:
1 5 3 6 4 5
3645 ÷ 15 = 243
15 into 36 goes 2 time
and 6 left over to carry
15 into 45 goes 3 times
exactly
2 46
A times table for 15 would be helpful with this method
43
15 into 64 goes 4
time and 4 left over to
carry 1 x 15 = 15
2 x 15 = 30
3 x 15 = 45
4 x 15 = 60
5 x 15 = 75
6 x 15 = 90
7 x 15 = 105
8 x 15 = 120
9 x 15 = 135
Space saver division with larger numbers5589 ÷ 23 can be written like this:
2 3 5 5 8 9
5589 ÷ 23 = 243
23 into 55 goes 2 time
and 9 left over to carry
23 into 69 goes 3 times
exactly
3 69
A times table for 15 would be helpful with this method
69
23 into 98 goes 4
times and 6 left over to carry 1 x 23 = 23
2 x 23 = 46
3 x 23 = 69
4 x 23 = 92
5 x 23 = 115
6 x 23 = 138
7 x 23 = 161
8 x 23 = 184
9 x 23 = 207
Space saver division with larger numbers5535 ÷ 15 can be written like this:
1 5 5 5 3 5
5535 ÷ 15 = 369
15 into 55 goes 3 time and 10 left
over to carry
15 into 135 goes 9 times
exactly
3 610
A times table for 15 would be helpful with this method
139
15 into 103 goes 6
times and 13 left over
to carry 1 x 15 = 15
2 x 15 = 30
3 x 15 = 45
4 x 15 = 60
5 x 15 = 75
6 x 15 = 90
7 x 15 = 105
8 x 15 = 120
9 x 15 = 135
Now try the exercises using both long division and
space saver methods for the larger numbers
