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 80 -400 56

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

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

Step 6: Check with multiplication 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 10 -220 326

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

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

Step 5: Add to find your answer! 22 24 R 18 546 10 -220 326 10 4 -220 106 + 24 - 88 18

Step 6: Check with multiplication 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 4 6

Step 6: Start Again with the New Number! “Saturday” Divide, Multiply, Subtract! 1 9 R 1 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 1 9

Step 6: Start Again with the New Number! “Saturday” Divide, Multiply, Subtract, Bring Down 1 2 7 895 -7 1 9 -14 5 5

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

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

5 496 Step 2: Divide the hundreds: “Did” If it is not divisible, move over! 5 496

Step 3: Multiply: “Mom” 9 5 496 45

Step 4: Subtract “Serve” 9 5 496 45 - 4

Step 5: Bring Down “Brownies” 9 5 496 -45 4 6

Step 6: Start Again! “Saturday” 9 9 5 496 -45 4 6 -45 1

Last: Check with multiplication!! This makes sure your answer is correct!