Division Algorithms
By: Jessica Nastasi
Tail Division!
3 digit by 1 digit
Step 1: Set up the problem
5 456
Step 2: Multiply the divisor by a number that will get you
close to the dividend. Write this on the OUTSIDE.
5 456
80
Step 3: Subtract the product from the dividend.
5 456
-400
56
80
Step 4: Repeat with new amount! Keep going until the
divisor is greater than the dividend.
5 456
-400
56
- 50
6 -5
1
80
10
1
Step 5: Add together the numbers on the side. This is
your quotient! Whatever is left on the inside is your
remainder.
91 R 1
5 456
80
-400
10
56 + 1
- 50
6 -5
1
91
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
22 546
Step 2: Multiply the divisor by a number that will get you
close to the dividend. Write this on the OUTSIDE.
22 546
-220
326
10
Step 3: Multiply the divisor by a number that will get you
close to the dividend. Write this on the OUTSIDE.
22 546
-220
326
-220
106
10
10
Step 4: Multiply the divisor by a number that will get you
close to the dividend. Write this on the OUTSIDE.
22
546 10
-220 10
326
4
-220
106
- 88
16
Step 5: Add to find your answer!
24 R 18
22 546
-220
326
-220
106
- 88
18
10
10
4
+
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
5 96
Step 2: Divide the tens: “Did”
1
5 96
Step 3: Multiply: “Mom”
1
5 96
5
Step 4: Subtract: “Serve”
1
5 96
-5
4
Step 5: Bring Down: “Brownies”
1
5 96
-5
46
Step 6: Start Again with the New Number! “Saturday”
Divide, Multiply, Subtract!
1 9 R1
5 96
-5
46
-45
1
Last: Check with multiplication!! This makes sure your
answer is correct!
Long Division!
3 digit by 1 digit
Step 1: Set up the problem
7 895
Step 2: Divide the hundreds: “Does”
1
7 895
Step 3: Multiply: “Mom”
1
7 895
7
Step 4: Subtract: “Serve”
1
7 895
7
1
-
Step 5: Bring Down: “Brownies”
1
7 895
-7
19
Step 6: Start Again with the New Number! “Saturday”
Divide, Multiply, Subtract, Bring Down
12
7 895
-7
19
-14
55
Step 7: Start Again with the New Number! “Saturday”
Divide, Multiply, Subtract
12 7
7 895
-7
19
-14
55
-49
6
R6
Last: Check with multiplication!! This makes sure your
answer is correct!
Long Division!
Zeros in the Quotient
3 digit by 1 digit
Step 1: Set up the problem
5 496
Step 2: Divide the hundreds: “Did”
If it is not divisible, move over!
0
5 496
Step 3: Multiply: “Mom”
09
5 496
45
Step 4: Subtract “Serve”
09
5 496
45
4
Step 5: Bring Down “Brownies”
09
5 496
-45
46
Step 6: Start Again! “Saturday”
099 R1
5 496
-45
46
-45
1
Last: Check with multiplication!! This makes sure your
answer is correct!