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Division Algorithms
By: Jessica Nastasi
Tail Division!3 digit by 1 digit
Step 1: Set up the problem
456
5
Step 2: Multiply the divisor by a number that will get you close to the dividend. Write this on the
OUTSIDE.
456
5 80
Step 3: Subtract the product from the dividend.
456
5 80
-400 56
Step 4: Repeat with new amount! Keep going until the divisor is greater than the dividend.
456
5
80-400 56
10
- 50 6
1
-5 1
Step 5: Add together the numbers on the side. This is your quotient! Whatever is left on the
inside is your remainder.
456
5
80-400 56
10
- 50 6
1
-5 1
+ 91
91 R 1
Step 6: Check with multiplication!! This makes sure your answer is correct!
Tail Division!3 digit by 2 digit!
Step 1: Set up the problem
546
22
Step 2: Multiply the divisor by a number that will get you close to the dividend. Write this on the
OUTSIDE.
546
22
10
-220 326
Step 3: Multiply the divisor by a number that will get you close to the dividend. Write this on the
OUTSIDE.
546
22
10
-220 326
10
-220 106
Step 4: Multiply the divisor by a number that will get you close to the dividend. Write this on the
OUTSIDE. 546
22
10
-220 326
10
-220 106
4
- 88 16
Step 5: Add to find your answer!
546
22
10
-220 326
10
-220 106
4
- 88 18
+
24 R 18
24
Step 6: Check with multiplication!! This makes sure your answer is correct!
Long Division! 2 digit by 1
digit
Remember:
Did Mom Serve Brownies Saturday?
Step 1: Set up the problem
96
5
Step 2: Divide the tens: “Did”
96
5
1
Step 3: Multiply: “Mom”
96
5
1
5
Step 4: Subtract: “Serve”
96
5
1
-
4
5
Step 5: Bring Down: “Brownies”
96
5
1
-5 4
6
Step 6: Start Again with the New Number! “Saturday”
Divide, Multiply, Subtract!
96
5
1
-5 46
9
-45 1
R 1
Last: Check with multiplication!! This makes sure your answer is correct!
3 digit by 1 digit
Long Division!
Step 1: Set up the problem
895
7
Step 2: Divide the hundreds: “Does”
895
7
1
Step 3: Multiply: “Mom”
895
7
1 7
Step 4: Subtract: “Serve”
895
7
1
7-
1
Step 5: Bring Down: “Brownies”
895
7
1 -7 1
9
Step 6: Start Again with the New Number! “Saturday”
Divide, Multiply, Subtract, Bring Down
895
7
1 -7 1
9
2
-14 5
5
Step 7: Start Again with the New Number! “Saturday”
Divide, Multiply, Subtract
895
7
1 -7 1
9
2
-14 5
5
7
-49 6
R 6
Last: Check with multiplication!! This makes sure your answer is correct!
3 digit by 1 digit
Long Division! Zeros in the Quotient
Step 1: Set up the problem
496
5
Step 2: Divide the hundreds: “Did” If it is not divisible, move over!
496
5
0
Step 3: Multiply: “Mom”
496
5
0
9
45
Step 4: Subtract “Serve”
496
5
0
9
45
-
4
Step 5: Bring Down “Brownies”
496
5
0
9
-45 4
6
Step 6: Start Again! “Saturday”
496
5
0
9
-45 4
6
9
-45 1
R1
Last: Check with multiplication!! This makes sure your answer is correct!
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