Dividing a 3 Digit Number by a 1
Digit Number & Dealing with the
Remainder

For Example: 931 by 5
Using Short Division
For...
Firstly, put the larger number inside the division bar and the
smaller number outside.
Firstly, put the larger number inside the division bar and the
smaller number outside.
For example : 931
Firstly, put the larger number inside the division bar and the
smaller number outside.
For example : 931

9 3 1
Firstly, put the larger number inside the division bar and the
smaller number outside.
For example : 931 divided by 5

5 9...
Now, try to divide the number in the hundreds column (9) by 5:

5 9 3 1
Now, try to divide the number in the hundreds column (9) by 5:
9 divided by 5 = 1 remainder 4

5 9 3 1
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 abo...
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 abo...
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 pla...
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 pla...
Now, divide the new number in the tens column (43) by 5:

1
5 9 3 1
4
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
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 th...
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 th...
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 ...
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 ...
Then divide the new number in the units column (31) by 5:

1 8
5 9 3 1
4

3
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
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 t...
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 t...
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 ...
a) You can just put it next to the 186

1 8 6
5 9 3 1
4

3
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
b) You can express it as a fraction by making the remainder the
numerator and the number you’ve divided by the denominator...
b) You can express it as a fraction by making the remainder the
numerator and the number you’ve divided by the
denominator...
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
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
c) You can add a decimal point and a zero behind the number
under the division bar and a decimal point behind the number
a...
c) You can add a decimal point and a zero behind the number
under the division bar and a decimal point behind the number
a...
c) The remainder is then placed next to the zero

1 8 6.
5 9 3 1. 0
4

3
c) The remainder is then placed next to the zero

1 8 6.
5 9 3 1. 0
4

3

1
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 ...
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...
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...
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...
c)

931 divided by 5 = 186.2

1 8 6. 2
5 9 3 1. 0
4

3

1
That’s it for now......

For more help with your maths, try
my book:
mastering multiplication tables
on amazon.com
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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)

  1. 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. 2. Firstly, put the larger number inside the division bar and the smaller number outside.
  3. 3. Firstly, put the larger number inside the division bar and the smaller number outside. For example : 931
  4. 4. Firstly, put the larger number inside the division bar and the smaller number outside. For example : 931 9 3 1
  5. 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. 6. Now, try to divide the number in the hundreds column (9) by 5: 5 9 3 1
  7. 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. 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. 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. 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. 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. 12. Now, divide the new number in the tens column (43) by 5: 1 5 9 3 1 4
  13. 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. 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. 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. 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. 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. 18. Then divide the new number in the units column (31) by 5: 1 8 5 9 3 1 4 3
  19. 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. 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. 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. 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. 23. a) You can just put it next to the 186 1 8 6 5 9 3 1 4 3
  24. 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. 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. 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. 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. 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. 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. 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. 31. c) The remainder is then placed next to the zero 1 8 6. 5 9 3 1. 0 4 3
  32. 32. c) The remainder is then placed next to the zero 1 8 6. 5 9 3 1. 0 4 3 1
  33. 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. 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. 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. 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. 37. c) 931 divided by 5 = 186.2 1 8 6. 2 5 9 3 1. 0 4 3 1
  38. 38. That’s it for now...... For more help with your maths, try my book: mastering multiplication tables on amazon.com
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