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Short Division: 3 Digit by 1 Digit (With Remainder)
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Short Division: 3 Digit by 1 Digit (With Remainder)

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  • 1. Dividing a 3 Digit Number by a 1 Digit Number & Dealing with the Remainder For Example: 931 by 5 Using Short Division For more maths help & free games related to this, visit: www.makemymathsbetter.com
  • 2. Firstly, put the larger number inside the division bar and the smaller number outside.
  • 3. Firstly, put the larger number inside the division bar and the smaller number outside. For example : 931
  • 4. Firstly, put the larger number inside the division bar and the smaller number outside. For example : 931 9 3 1
  • 5. Firstly, put the larger number inside the division bar and the smaller number outside. For example : 931 divided by 5 5 9 3 1
  • 6. Now, try to divide the number in the hundreds column (9) by 5: 5 9 3 1
  • 7. Now, try to divide the number in the hundreds column (9) by 5: 9 divided by 5 = 1 remainder 4 5 9 3 1
  • 8. Now, try to divide the number in the hundreds column (9) by 5: 9 divided by 5 = 1 remainder 4 The 1 is placed directly above the 9 5 9 3 1
  • 9. Now, try to divide the number in the hundreds column (9) by 5: 9 divided by 5 = 1 remainder 4 The 1 is placed directly above the 9 1 5 9 3 1
  • 10. Now, try to divide the number in the hundreds column (9) by 5: 9 divided by 5 = 1 remainder 4 And the remainder (4) is placed next to the 3 in the tens column 1 5 9 3 1
  • 11. Now, try to divide the number in the hundreds column (9) by 5: 9 divided by 5 = 1 remainder 4 And the remainder (4) is placed next to the 3 in the tens column 1 5 9 3 1 4
  • 12. Now, divide the new number in the tens column (43) by 5: 1 5 9 3 1 4
  • 13. Now, divide the new number in the tens column (43) by 5: 43 divided by 5 = 8 remainder 3 1 5 9 3 1 4
  • 14. Now, divide the new number in the tens column (43) by 5: 43 divided by 5 = 8 remainder 3 The 8 is placed directly above the 43 1 5 9 3 1 4
  • 15. Now, divide the new number in the tens column (43) by 5: 43 divided by 5 = 8 remainder 3 The 8 is placed directly above the 43 1 8 5 9 3 1 4
  • 16. Now, divide the new number in the tens column (43) by 5: 43 divided by 5 = 8 remainder 3 And the remainder of 3 is placed next to the 1 in the units 1 8 5 9 3 1 4
  • 17. Now, divide the new number in the tens column (43) by 5: 43 divided by 5 = 8 remainder 3 And the remainder of 3 is placed next to the 1 in the units 1 8 5 9 3 1 4 3
  • 18. Then divide the new number in the units column (31) by 5: 1 8 5 9 3 1 4 3
  • 19. Then divide the new number in the units column (31) by 5: 31 divided by 5 = 6 remainder 1 1 8 5 9 3 1 4 3
  • 20. Then divide the new number in the units column (31) by 5: 31 divided by 5 = 6 remainder 1 The 6 is placed directly above the 31 in the units column 1 8 5 9 3 1 4 3
  • 21. Then divide the new number in the units column (31) by 5: 31 divided by 5 = 6 remainder 1 The 6 is placed directly above the 31 in the units column 1 8 6 5 9 3 1 4 3
  • 22. Then divide the new number in the units column (31) by 5: 31 divided by 5 = 6 remainder 1 You can then do one of 3 things with the remainder of 1 1 8 6 5 9 3 1 4 3
  • 23. a) You can just put it next to the 186 1 8 6 5 9 3 1 4 3
  • 24. a) You can just put it next to the 186, to give the answer: 931 divided by 5 = 186 r 1 1 8 6r1 5 9 3 1 4 3
  • 25. b) You can express it as a fraction by making the remainder the numerator and the number you’ve divided by the denominator 1 8 6 5 9 3 1 4 3
  • 26. b) You can express it as a fraction by making the remainder the numerator and the number you’ve divided by the denominator, to give the answer: 931 divided by 5 = 186 1/5 1 8 6 1/5 5 9 3 1 4 3
  • 27. c) You can add a decimal point and a zero behind the number under the division bar 1 8 6 5 9 3 1 4 3
  • 28. c) You can add a decimal point and a zero behind the number under the division bar 1 8 6 5 9 3 1. 0 4 3
  • 29. c) You can add a decimal point and a zero behind the number under the division bar and a decimal point behind the number above it: 1 8 6 5 9 3 1. 0 4 3
  • 30. c) You can add a decimal point and a zero behind the number under the division bar and a decimal point behind the number above it: 1 8 6. 5 9 3 1. 0 4 3
  • 31. c) The remainder is then placed next to the zero 1 8 6. 5 9 3 1. 0 4 3
  • 32. c) The remainder is then placed next to the zero 1 8 6. 5 9 3 1. 0 4 3 1
  • 33. c) The remainder is then placed next to the zero. The new number (10) is the tenths column is then divided by 5 1 8 6. 5 9 3 1. 0 4 3 1
  • 34. c) The remainder is then placed next to the zero. The new number (10) is the tenths column is then divided by 5 10 divided by 5 = 2 1 8 6. 5 9 3 1. 0 4 3 1
  • 35. c) The remainder is then placed next to the zero. The new number (10) is the tenths column is then divided by 5 10 divided by 5 = 2 The 2 is placed in the tenths column above the 10 1 8 6. 5 9 3 1. 0 4 3 1
  • 36. c) The remainder is then placed next to the zero. The new number (10) is the tenths column is then divided by 5 10 divided by 5 = 2 The 2 is placed in the tenths column above the 10 1 8 6. 2 5 9 3 1. 0 4 3 1
  • 37. c) 931 divided by 5 = 186.2 1 8 6. 2 5 9 3 1. 0 4 3 1
  • 38. That’s it for now...... For more help with your maths, try my book: mastering multiplication tables on amazon.com