Long Division Tutorial

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Long Division Tutorial

  1. 1. Long Division
  2. 2. We are going to divide. It is easy to do, as long as you follow the steps. Division is like a recipe. The steps must be followed precisely and in order for the problem to come out correctly. The following silly sentence will help you remember the division steps: Do Monkeys Sniff Brown Rats? D = Divide M = Multiply S = Subtract B = Bring down R = Repeat or Remainder
  3. 3. Here is a division problem to work out: 14 167
  4. 4. Step 1 is Divide We need to decide how many times 14 will go into 16. 1 It will go 1 time. 14 16
  5. 5. Step 2 Multiply We need to multiply 14 x 1. 1 14 16 14
  6. 6. The next step is to Subtract. 1 14 16 - 14 2
  7. 7. Step 3 is to Check. We need to make sure that the answer to our subtraction problem is smaller than our divisor, 14. 1 14 16 - 14 2 2 is smaller than 14, so we can go to the Next step.
  8. 8. The next step is to Bring Down. 1 7 14 16 - 14 27
  9. 9. The next step is to Repeat. We go back to step one and Divide. We need to decide how many times 14 will go into 27. 14 x 2 = 28 and that is bigger than 27. So we will use 14 x 1 = 14.
  10. 10. 1 1 7 14 16 14 27
  11. 11. The next step is to Multiply. 1 1 7 14 16 - 14 27 14
  12. 12. The next step is to Subtract. 1 1 7 14 16 - 14 27 - 14 13
  13. 13. The next step is to Check. We need to be sure that the answer to our subtraction problem is less than the divisor 14. 1 1 7 14 16 - 14 Since it is, we can go on to the next step. 27 - 14 13
  14. 14. The next step is to Bring Down. Since there are no numbers to bring down, we do not repeat, but use the 13 as our Remainder. 1 R 13 1 7 14 16 - 14 27 - 14 13
  15. 15. WooHoo – You are now a Math Genius - Long Division isn’t easy and you are beginning to accomplish it!

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