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## Long Division

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**Objective: Students will master the algorithm for long**division Long Division √**Long Division**• Long division is as simple as memorizing the people in this family. Dad Mother Sister Brother Ruff!**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!**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.**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.**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.**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.**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.**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.**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.**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.**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.**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**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.**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.**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.**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.**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.**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**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**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**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**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**WHAT IS 6.82 ÷ 1.5?**I’ll never be able to solve this! Quit yer crying, laddie. It ain’t that hard.**WHAT IS 6.82 ÷ 1.5?**But what do I do? GET RID OF THOSE DECIMALS!**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**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**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**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**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