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Long Division

Long Division

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Long Division

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  1. Objective: Students will master the algorithm for long division Long Division √

  2. Long Division • Long division is as simple as memorizing the people in this family. Dad Mother Sister Brother Ruff!

  3. Long Division • Each person represents a step in the long division process. 3. Subtract 1. Divide Sister Dad 4. Bring down 2. Multiply Brother Mother 5. Repeat or Remainder Ruff!

  4. Step 1 in Long Division 4 1. Divide • Divide 2 into first number in the dividend. 2 ) 9 4 7 Dad How many 2’s will go into 9? • Think how many 2’s will fit into 9. • Write that number directly above the number you divided into.

  5. Step 2 in Long Division 4 2. Multiply • Multiply the divisor by the first number in the quotient. 2 ) 9 4 7 Mother 8 2 x 4 = 8 • Write your answer directly under the 9 or the number you just divided into.

  6. Step 3 in Long Division 4 3. Subtract • Draw a line under the 8. 2 ) 9 4 7 Sister 8 1 • Write a subtraction sign next to the 8. • Subtract 8 from 9. • Write your answer directly below the 8.

  7. Step 4 in Long Division 4 4. Bring down • Go to the next number in the dividend to the right of the 9. 2 ) 9 4 7 Brother 8 1 4 • Write an arrow under the 4. • Bring the 4 down next to the 1.

  8. Step 5 in Long Division 4 5. Repeat or Remainder • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 Ruff! 8 1 4 • If your divisor can divide into your new number, 14, or if you have numbers in the dividend that have not been brought down, you repeat the 5 steps of division.

  9. Step 1 in Long Division 4 7 1. Divide • Divide 2 into your new number, 14. 2 ) 9 4 7 Dad 8 1 4 • Place your answer directly above the 4 in your quotient.

  10. Step 2 in Long Division 4 7 2. Multiply • Multiply your divisor, 2, with your new number in the quotient, 7. 2 ) 9 4 7 Mother 8 1 4 1 4 • Place your answer directly under the 14.

  11. Step 3 in Long Division 4 7 3. Subtract • Draw a line under the bottom 14. 2 ) 9 4 7 Sister 8 1 4 1 4 • Draw a subtraction sign. 0 • Subtract & place answer under the line.

  12. Step 4 in Long Division 4 7 4. Bring down • Put an arrow under the next number, 7, in the dividend. 2 ) 9 4 7 Brother 8 1 4 1 4 0 7 • Bring the 7 down next to the 0.

  13. Step 5 in Long Division 4 7 5. Repeat or Remainder • If the 2 will divide into your new number, 7, then repeat the steps of division. 2 ) 9 4 7 Ruff! 8 1 4 1 4 0 7

  14. Step 1 in Long Division 4 7 3 1. Divide • Divide your divisor, 2, into your new number, 7. 2 ) 9 4 7 Dad 8 1 4 1 4 0 7 • Place your answer in the quotient next to the 7.

  15. Step 2 in Long Division 4 7 3 2. Multiply • Multiply your divisor, 2, by your new number in the quotient, 3. 2 ) 9 4 7 8 Mother 1 4 1 4 0 7 6 • Place your answer under the number you brought down, 7.

  16. Step 3 in Long Division 4 7 3 3. Subtract 2 ) 9 4 7 • Draw a line under the number 6. 8 Sister 1 4 1 4 0 7 6 • Place your subtraction sign. 1 • Subtract & put your answer directly under the 6.

  17. Step 4 in Long Division 4 7 3 4. Bring down 2 ) 9 4 7 • Look at your dividend to see if there are any more numbers to bring down. 8 Brother 1 4 1 4 0 7 6 1 • If not, move to step 5.

  18. Step 5 in Long Division 4 7 3 R1 5. Repeat or Remainder 2 ) 9 4 7 • Since there are no more numbers to bring down, and 2 will not divide into 1, you do not repeat the steps of division. 8 Ruff! 1 4 1 4 0 7 6 1 • The number left over, 1, becomes the remainder.

  19. SUCCESS!

  20. EXTRA PRACTICE

  21. Dividend ÷ Divisor = Quotient WHAT IS 59 ÷ 3? 1 9 r2 3 √ 5 9 3 3  19 = 57 57 + 2 = 59 2 9 2 7 2

  22. Dividend ÷ Divisor = Quotient WHAT IS 87 ÷ 5? 1 7 4  5 √ 8 7 .0 5 3 7 What is 870 ÷ 5? 3 5 2 0 2 0 0

  23. Dividend ÷ Divisor = Quotient WHAT IS 43 ÷ 4? 1 0 7 5  4 √ 4 3 .0 0 4 0 3 What is 4,300 ÷ 400? 0 0 3 0 2 8 2 0 2 0 0

  24. Dividend ÷ Divisor = Quotient WHAT IS 927 ÷ 22?ROUNDED TO THE NEAREST 100TH 4 2 1 3 0  22 √ 9 2 7 .0 0 8 8 4 7 Why should you stop here? 4 4 3 0 2 2 8 0 6 6 1 4

  25. Dividend ÷ Divisor = Quotient WHAT IS 748 ÷ 35?ROUNDED TO THE NEAREST 100TH 2 1 3 7 1  35 √ 0 7 4 8 .0 0 7 0 4 8 Why should you stop here? 3 5 1 3 0 1 0 5 2 5 0 2 4 5 5 0

  26. DIVIDING DECIMALS

  27. WHAT IS 6.82 ÷ 1.5? I’ll never be able to solve this! Quit yer crying, laddie. It ain’t that hard.

  28. WHAT IS 6.82 ÷ 1.5? But what do I do? GET RID OF THOSE DECIMALS!

  29. What power of 10 can you multiply Both 6.82 and 1.5 by so that they become whole numbers? 10  6.82 = 68.2 10  1.5 = 15 100  6.82 = 682 100  1.5 = 150 6.82 ÷ 1.5 = 682 ÷ 150

  30. Dividend ÷ Divisor = Quotient WHAT IS 6.82 ÷ 1.5? 4 5 4 6  150 √ 6 8 2 0 .0 0 Do you see a pattern emerging? 6 0 0 0 8 2 7 5 0 7 0 0 6 0 0 0 1 0 0 9 0 0 1 0 0

  31. Which of the following four expressions gives the same answer as 3.75 ÷ 2.23? A. 3.75 ÷ 22.3 B. 375 ÷ 223 C. 375 ÷ 22.3 D. 37.5 ÷ 223 answer

  32. Which of the following four expressions gives the same answer as 9.589 ÷ 61.42? A. 958.9 ÷ 614.2 B. 9,589 ÷ 6,142 C. 9,589 ÷ 61,420 D. 95.89 ÷ 6,142 answer

  33. Which of the following four expressions gives the same answer as 711.37 ÷ 0.222? A. 71,137 ÷ 222 B. 7,113.7 ÷ 2.22 C. 711,370 ÷ 222 D. 7.1137 ÷ 0.0022 answer

  34. ObjectiveComplete