short
long
Division
space saver
Short division
369 ÷ 3 can be written like this:
The 3 into 3
goes 1 time
exactly
3 into 6
goes 2
times
1 2 3
3
3 6 9
396 ÷ 3 = 132
The 3 into 9
goes 3 times
exactly
 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.
Short division
675 ÷ 5 can be written like this:
The 5 into 6
goes 1 time
with 1 left
over to carry
5 into 17
goes 3
times with 2
left over to
carry
The 5 into 25
goes 5 times
exactly
1 3 5
5 6 1 7 25
675 ÷ 5 = 135
 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.
Long division part 1
598 ÷ 13 can be written like this:
Tip:
13 into 59
goes 4
times
Make a times
table to help
4
13 5 9 8
4 x 13 = 52
59 – 52 = 7
-5 2
7
1
2
3
4
5
6
7
8
9
x
x
x
x
x
x
x
x
x
13
13
13
13
13
13
13
13
13
=
=
=
=
=
=
=
=
=
13
26
39
52
65
78
91
104
117
Long division part 2
598 ÷ 13 can be written like this:
13 into 78
goes 6
times
4 6
13 5 9 8
6 x 13 = 78
78 – 78 = 0
-5 2
78
-7 8
598 ÷ 13 =46
Bring
down the 8
to make 78
1
2
3
4
5
6
7
8
9
x
x
x
x
x
x
x
x
x
13
13
13
13
13
13
13
13
13
=
=
=
=
=
=
=
=
=
13
26
39
52
65
78
91
104
117
Long division part 1
Tip:
a times
3195 ÷ 15 can be written like this:Make
table to help
15 into 31 goes
2 times.
2
15 3 1 9 5
2 x 15 = 30.
31 – 30 = 1
-3 0
1
1
2
3
4
5
6
7
8
9
x
x
x
x
x
x
x
x
x
15
15
15
15
15
15
15
15
15
=
=
=
=
=
=
=
=
=
15
30
45
60
75
90
105
120
135
Long division part 2
3195 ÷ 15 can be written like this:
15 into 19 goes
1 times.
2 1
15 3 1 9 5
1 x 15 = 15
19 – 15 = 4
-3 0
19
-1 5
4
Bring down the 9
to make 19
1
2
3
4
5
6
7
8
9
x
x
x
x
x
x
x
x
x
15
15
15
15
15
15
15
15
15
=
=
=
=
=
=
=
=
=
15
30
45
60
75
90
105
120
135
Long division part 3
3195 ÷ 15 can be written like this:
15 into 45 goes
3 times.
2 1 3
15 3 1 9 5
-3 0
19
-1 5
45
3 x 15 = 45.
-4 5
45 – 45 = 0
Bring down the
5 to make 45
3195 ÷ 15 = 213
1
2
3
4
5
6
7
8
9
x
x
x
x
x
x
x
x
x
15
15
15
15
15
15
15
15
15
=
=
=
=
=
=
=
=
=
15
30
45
60
75
90
105
120
135
Space saver division is like short
division but with larger numbers.
156 ÷ 13 can be written like this:
13 into 26
goes 2
times
exactly
13 into 15
goes 1 time
and 2 left
over to
carry
1 2
2
13 1 5 6




156 ÷ 13 = 12
A times table for 13 would
be helpful with this method
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.
Space saver division
480 ÷ 15 can be written like this:
15 into 30
goes 2
times
exactly
15 into 48
goes 3 time
and 3 left
over to
carry
3 2
3
15 4 8 0




480 ÷ 15 = 32
A times table for 15 would
be helpful with this method
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.
Space saver division with larger numbers
3645 ÷ 15 can be written like this:
15 into 36
goes 2 time
and 6 left over
to carry
15 into 64
goes 4
time and 4
left over to
carry
2 4 3
1 5 3 6 64 4 5
15 into 45
goes 3
times
exactly
A times table for 15 would
be helpful with this method
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
3645 ÷ 15 =
243
8 x 15 = 120
9 x 15 = 135
Space saver division with larger numbers
5589 ÷ 23 can be written like this:
23 into 55
goes 2 time
and 9 left over
to carry
23 into 98
goes 4
times and
6 left over
to carry
3 6 9
2 3 5 5 98 6 9
23 into 69
goes 3
times
exactly
A times table for 15 would
be helpful with this method
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
5589 ÷ 23 =
243
9 x 23 = 207
Space saver division with larger numbers
5535 ÷ 15 can be written like this:
15 into 55
goes 3 time
and 10 left
over to carry
15 into 103
goes 6
times and
13 left
over to
carry
15 into 135
goes 9
times
exactly
3 6 9
1 5 5 5103 135
A times table for 15 would
be helpful with this method
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
5535 ÷ 15 =
369
9 x 15 = 135
Now try the exercises using
both long division and
space saver methods for the
larger numbers