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