Partial Quotient Division
Step 1
652 ÷ 4
Draw what looks
like a hangman pole.
Place the dividend
in the middle and
the divisor on the
outside.
4 652
Step 2
652 ÷ 4
Next, pull out groups
of 4. For example, you
can pull out 100 groups
of 4 or you could pull
out 50 groups of 4. Place
the number of groups on
the outside and the total
that was pulled out on the
inside below the original
number.
4 652
400 100
4 652
200 50
* There are lots of different ways you
could solve to get the answer.
Step 3
652 ÷ 4
4 652
400 100
- ___
252
Subtract the total number
of groups you just pulled
out from the dividend.
4 652
200 50
- ___
452
Step 4
652 ÷ 4
Pull out more groups
of 4. For example, you
can pull out 50 groups
of 4 for the problem on
the left and get a total of
200.For the problem on
the right you could also
pull out 50 groups of 4.
4 652
400 100
- ___
252
200 50
4 652
200 50
- ___
452
200 50
Step 5
652 ÷ 4
Subtract again. Subtract
the total number of
groups you just pulled
out.
4 652
400 100
- ___
252
200 50
- ___
52
4 652
200 50
- ___
452
200 50
- ___
252
Step 6
4 652
652 ÷ 4
400
100
___
Again, pull out more
groups of 4.For example,
252
we could pull out 10
200 50
___
groups of 4 for the problem
52
on the left and another 50
40 10
groups of 4 for the problem
on the right. That would
be a total of 40 on the left
and another 200 on the right.
4 652
200 50
- ___
452
200 50
- ___
252
200 50
Step 7
652 ÷ 4
Subtract again. Subtract
the total number of
groups you just pulled
out.
4 652
400 100
- ___
252
200 50
- ___
52
40 10
- ___
12
4 652
200 50
- ___
452
200 50
- ___
252
200 50
- ___
52
Step 8
652 ÷ 4
Pull out 3 more groups
of 4 for the problem on
the left for a total of 12.
Pull out 10 groups of 4
for the problem on the
right for a total of 40.
4 652
400 100
- ___
252
200 50
- ___
52
40 10
- ___
12
12 3
4 652
200
- ___
452
200
- ___
252
200
- ___
52
40
50
50
50
10
Step 9
652 ÷ 4
Subtract again. Subtract
the total number of
groups you just pulled
out.
4 652
400
- ___
252
200
- ___
52
40
- ___
12
12
- ___
0
100
50
10
3
4 652
200 50
- ___
452
200 50
- ___
252
200 50
- ___
52
40 10
- ___
12
Step 10
652 ÷ 4
The problem on the right
needs one more step to
be finished. Pull out the
3 groups of 4 for a total
of 12 and subtract.
Last of all, add the
numbers on the right to
get the quotient.
The quotient is 163.
4 652
400 100
- ___
252
200 50
- ___
52
40 10
- ___
12
12 +___
3
- ___
0 163
4 652
200 50
- ___
452
200 50
- ___
252
200 50
- ___
52
40 10
- ___
12
12 +___
3
- ___
0 163
Step 1
364 ÷ 5
Draw what looks
like a hangman pole.
Place the dividend
in the middle and
the divisor on the
outside.
5 364
Step 2
364 ÷ 5
Next, pull out groups
of 5. For example, you
can pull out 70 groups
of 5 or you could pull
out 60 groups of 5. Place
the number of groups on
the outside and the total
that was pulled out on the
inside below the original
number.
5 364
350 70
5 364
300 60
* There are lots of different ways you
could solve to get the answer.
Step 3
364 ÷ 5
5 364
350 70
- ___
14
Subtract the total number
of groups you just pulled
out from the dividend.
5 364
300 60
- ___
64
Step 4
364 ÷ 5
Pull out 2 groups of 5
for the problem on the
left for a total of 10.
Pull out 10 groups of 5
for the problem on the
left for a total of 50.
5 364
350 70
- ___
14
10 2
5 364
300 60
- ___
64
50 10
Step 5
364 ÷ 5
Subtract again. Subtract
the total number of
groups you just pulled
out.
5 364
350 70
- ___
14
10 2
- ___
4
5 364
300 60
- ___
64
50 10
- ___
14
Step 6
364 ÷ 5
You can’t pull out any
more groups of 5 for the
problem on the left, but
you can still pull out 2
groups of 5 for the
problem on the right for a
total of 10.
5 364
350 70
- ___
14
10 2
- ___
4
5 364
300 60
- ___
64
50 10
- ___
14
10 2
Step 7
5 364
364 ÷ 5
350 70
- ___
Subtract again for the
14
problem on the right.
10 2
___
Subtract the total number
4
of groups you just pulled
out.
5 364
300 60
- ___
64
50 10
- ___
14
10 2
- ___
4
72 R 4
Step 8
5 364
364 ÷ 5
350 70
- ___
14
Add the numbers on the
10 +___
2
right to get the quotient. - ___
4 72
The quotient is 72.
The remainder is 4.
72 R 4
72 R 4
5 364
300 60
- ___
64
50 10
- ___
14
10 +___
2
- ___
4 72
Step 1
298 ÷ 7
Draw what looks
like a hangman pole.
Place the dividend
in the middle and
the divisor on the
outside.
7 298
Step 2
298 ÷ 7
Next, pull out groups
of 7. For example, you
can pull out 40 groups
of 7 for a total of 280.
Place the number
of groups on the outside
and the total that was
pulled out on the inside
below the dividend.
7 298
280 40
Step 3
298 ÷ 7
7 298
280 40
- ___
18
Subtract the total number
of groups you just pulled
out from the dividend.
Step 4
298 ÷ 7
Pull out 2 groups of 7
for a total of 14.
7 298
280 40
- ___
18
14 2
Step 5
298 ÷ 7
Subtract again.
7 298
280 40
- ___
18
14 2
- ___
4
42 R 4
Step 6
7 298
298 ÷ 7
280 40
- ___
18
Add the numbers on the - ___
14 +___
2
right to get the quotient.
4 42
The quotient is 42.
The remainder is 4.
42 R 4