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Mastering Long Division: A Step-by-Step Guide to Tail Division Techniques

Dive into the world of long division with this comprehensive guide on tail division! This resource outlines the step-by-step process for dividing three-digit numbers by one-digit and two-digit numbers, using practical examples to clarify each stage. Learn essential techniques such as setting up the problem, subtracting the product from the dividend, and checking your work with multiplication. Whether you're a student or brushing up on your skills, this guide will enhance your understanding of long division.

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Mastering Long Division: A Step-by-Step Guide to Tail Division Techniques

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Presentation Transcript

  1. Division Algorithms By: Jessica Nastasi

  2. Tail Division!3 digit by 1 digit

  3. 5 456 Step 1: Set up the problem

  4. 5 456 Step 2: Multiply the divisor by a number that will get you close to the dividend. Write this on the OUTSIDE. 80

  5. 5 456 Step 3: Subtract the product from the dividend. 80 -400 56

  6. 5 456 Step 4: Repeat with new amount! Keep going until the divisor is greater than the dividend. 80 -400 56 10 1 - 50 6 -5 1

  7. 5 456 91 R 1 Step 5: Add together the numbers on the side. This is your quotient! Whatever is left on the inside is your remainder. 80 -400 56 10 + 1 - 50 6 91 -5 1

  8. Step 6: Check with multiplication!! This makes sure your answer is correct!

  9. Tail Division!3 digit by 2 digit!

  10. Step 1: Set up the problem 22 546

  11. 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

  12. 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

  13. 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

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

  15. Step 6: Check with multiplication!! This makes sure your answer is correct!

  16. Long Division! 2 digit by 1 digit

  17. Remember: Did Mom Serve Brownies Saturday?

  18. Step 1: Set up the problem 5 96

  19. Step 2: Dividethe tens:“Did” 1 5 96

  20. Step 3: Multiply: “Mom” 1 5 96 5

  21. Step 4: Subtract: “Serve” 1 5 96 5 - 4

  22. Step 5: Bring Down: “Brownies” 1 5 96 -5 4 6

  23. Step 6: Start Again with the New Number! “Saturday” Divide, Multiply, Subtract! 1 9 R 1 5 96 -5 46 -45 1

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

  25. Long Division! 3 digit by 1 digit

  26. Step 1: Set up the problem 7 895

  27. Step 2: Divide the hundreds:“Does” 1 7 895

  28. Step 3: Multiply:“Mom” 1 7 895 7

  29. Step 4: Subtract:“Serve” 1 7 895 7 - 1

  30. Step 5: Bring Down:“Brownies” 1 7 895 -7 1 9

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

  32. Step 7: Start Again with the New Number!“Saturday” Divide, Multiply, Subtract 7 1 2 R 6 7 895 -7 1 9 -14 5 5 -49 6

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

  34. Long Division! Zeros in the Quotient 3 digit by 1 digit

  35. Step 1: Set up the problem 5 496

  36. Step 2: Divide the hundreds:“Did” • If it is not divisible, move over! 0 5 496

  37. Step 3: Multiply: “Mom” 0 9 5 496 45

  38. Step 4: Subtract “Serve” 0 9 5 496 45 - 4

  39. Step 5: Bring Down “Brownies” 9 0 5 496 -45 4 6

  40. Step 6: Start Again! “Saturday” R1 9 9 0 5 496 -45 4 6 -45 1

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

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