How to Use

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How to Use Chimney Division
By Mr. Kissner
Version 1.3
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What is chimney division?
Chimney division is the process of using
multiples to solve long division problems
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The KEY to chimney division lies in understanding
multiples
Multiples are all the possible products for a
given factor
The number being multiplied
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Here is an example
The multiples of 3
3, 6, 9, 12, 15, 18, 21, 24
The multiples of 8
8, 16, 24, 32, 40, 48, 56
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Remember that multiples go one forever!
270
102
1800
30
900
3
51
630
21,000,000
Just to name a few
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Look at these numbers. Which numbers are
multiples of 8?
85
800
32
618
43
631
72
5600
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Look at these numbers. Which numbers are
multiples of 8?
Multiple of 8
NOT a Multiple of 8
32
631
72
618
5600
43
800
85
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Now look at the parts of a long division problem
remainder
141 r 3
quotient
567
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divisor
dividend
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The funny thing about division is that you have
to use all four operations! - x
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Here is a division problem
With the standard division solving, if you make a
minor error with dividing the whole problem is
wrong and you would then have to start over.
With chimney division minor errors can be fixed
easier.
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This is how chimney division works
Remember to leave room on the top of the
division symbol to make a column of numbers
1. Write a division problem using the division bar
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This is how chimney division works
Ask yourself the question What is a multiple of
5 that is less than 345?
2. Think of a multiple of the divisor that is
LESS THAN the dividend
300 is a multiple of 5 that is less than
345. 5x60300
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This is how chimney division works
3. Put the multiple under the dividend and factor
on top of the division bar
60
300
5x60300
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This is how chimney division works
4. Now subtract the multiple from the dividend to
get the remainder
60
dividend
-300
multiple
45
remainder
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This is how chimney division works
5. If the remainder is greater than or equal to
the divisor, repeat steps 1 to 4
The remainder is 45 the divisor is 5 45gt5 So
Repeat the first four steps
60
-300
45
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This is how chimney division works
40 is a multiple of 5 because 405x8
8
60
-300
45
-40
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This is how chimney division works
The remainder is 5 the divisor is 5 55 So
Repeat the first four steps
8
60
-300
45
-40
5
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This is how chimney division works
5 is a multiple of 5 because 55x1
1
8
60
-300
45
-40
5
-5
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This is how chimney division works
1
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The remainder is 0 the divisor is 5 0lt5 Now
go on to final step
60
-300
45
-40
5
- 5
0
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This is how chimney division works
69
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Add up the Chimney and you will get your final
quotient
8
60
-300
45
-40
5
- 5
0
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This is how chimney division works
69
1
8
60
-300
45
-40
5
- 5
0
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Lets try another problem
The great part of chimney division is the answer
is all that matters! This problem can be solved
just by using tens and ones
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If you got that quotient 22 r1 then you have
the right answer.
22
1
1
10
10
r 1

-80
97
Dont worry if you used different multiples. The
right answer is what counts!
-80
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-8
9
-8
1
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Try this problem on your own.
Write the problem in the middle of the paper to
give you enough room for your chimney
93 r 4
Check your answer. If you have this Quotient
you are correct
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Do these problems for homework
Write the problems in the middle of the paper to
give you enough room for your chimney
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Try your best and write down any questions you
have about chimney division for your teacher