Long Division Cheat Sheet
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1Name:
Long Division Cheat Sheet
To solve long division problems all you have to remember is 5
simple steps:
2
3
1) Determine
1
2
3
4
5
4
9 5
A. 4 mes ___ = is as close as you can get to
Determine
Mul ply
Subtract
Compare
Bring Down
8
-
15 WITHOUT going over.
1 5
B. 4 × 2 =
8
(8 isn’t more than 15)
Lets look at those steps in depth below to solve the problem:
4 × 3 =
12
(12 isn’t more than 15)
95 ÷ 4 = _____
4 × 4 =
16
(16 IS more than 15)
C. We have to use 3, since 4 × 3 is as close to
15 as we can get without going over.
D. Place the 3 over the 5.
2
1) Determine
4 9
5
A. 4 mes ___ = is as close as you can get to
9 WITHOUT going over.
2
3
×
2) Mul ply
B. 4 × 0 =
0
(0 isn’t more than 9)
4
9 5
4 × 1 =
4
(4 isn’t more than 9)
A.
Mul ply 3 × 4
4 × 2 =
8
(8 isn’t more than 9)
8
-
B.
3 × 4 = 12
4 × 3 =
12
(12 IS more than 9)
1 5
C. We have to use 2, since 4 × 2 is as close to
1 2
C.
Place the 12 directly under the 15.
9 as we can get without going over.
D. Place the 2 over the 9.
2 3
3) Subtract
4 9 5
A. Subtract 15 - 12
2
×
2) Mul ply
8
-
4
9 5
B. 15 - 12 = 3
A. Mul ply 2 × 4
1 5
8
-
1 2
C. Place the 3 in the appropriate spot.
B. 2 × 4 = 8
3
C. Place the 8 directly under the 9.
2 3
4) Compare
2
3) Subtract
4
9 5
A. Compare your answer to the divisor (4).
4
9
5
8
-
A.
Subtract 9 - 8
B. Is 3 less than 4?
8
-
1 5
B.
9 - 8 = 1
Yes. 3 < 4. Move on to step 5.
1
1 2
-
C.
Place the 1 in the appropriate spot.
C. If not, double check the previous steps to
3
find your mistake.
2
4) Compare
2 3
r 3
5) Bring Down
4
9 5
A. Compare your answer to the divisor (4).
4 9 5
8
-
A. There is nothing to bring down!
B. Is 1 less than 4?
8
1
-
Yes. 1 < 4. Move on to step 5.
B. That means the 3 becomes a remainder.
1 5
C. If not, double check the previous steps to
1 2
C. So 95 ÷ 4 = 23 r3
-
find your mistake.
3
Things to Remember
2
5) Bring Down
Make sure you have a number over each of the digits
4 9
5
A. Now we bring down our next number.
(even if the number is a 0).
8
-
B. That turns our 1 into 15.
Your remainder MUST be less than your divisor.
1
5
C. Start over from step 1 (at the top)
If you get a remainder of 0. You don’t need to even
put the remainder.
Math
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