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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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