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Dividing a 3 Digit Number by a 1 Digit Number & Dealing with the
Remainder
For Example: 931 by 5
Using Short Division
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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.
9 3 1
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.
9 3 1 5
For example : 931 divided by 5
9 3 1 5
Now, try to divide the number in the hundreds column (9) by 5:
9 3 1 5
Now, try to divide the number in the hundreds column (9) by 5:9 divided by 5 = 1 remainder 4
9 3 1 5
Now, try to divide the number in the hundreds column (9) by 5:9 divided by 5 = 1 remainder 4The 1 is placed directly above the 9
9 3 1 5 1
Now, try to divide the number in the hundreds column (9) by 5:9 divided by 5 = 1 remainder 4The 1 is placed directly above the 9
Now, try to divide the number in the hundreds column (9) by 5:9 divided by 5 = 1 remainder 4And the remainder (4) is placed next to the 3 in the tens column
9 3 1 5 1
9 3 1 5 1
4
Now, try to divide the number in the hundreds column (9) by 5:9 divided by 5 = 1 remainder 4And the remainder (4) is placed next to the 3 in the tens column
9 3 1 5 1
4
Now, divide the new number in the tens column (43) by 5:
9 3 1 5 1
4
Now, divide the new number in the tens column (43) by 5:43 divided by 5 = 8 remainder 3
9 3 1 5 1
4
Now, divide the new number in the tens column (43) by 5:43 divided by 5 = 8 remainder 3The 8 is placed directly above the 43
9 3 1 5 1 8
4
Now, divide the new number in the tens column (43) by 5:43 divided by 5 = 8 remainder 3The 8 is placed directly above the 43
9 3 1 5 1 8
4
Now, divide the new number in the tens column (43) by 5:43 divided by 5 = 8 remainder 3And the remainder of 3 is placed next to the 1 in the units
9 3 1 5 1 8
4
Now, divide the new number in the tens column (43) by 5:43 divided by 5 = 8 remainder 3And the remainder of 3 is placed next to the 1 in the units
3
9 3 1 5 1 8
4
Then divide the new number in the units column (31) by 5:
3
9 3 1 5 1 8
4
Then divide the new number in the units column (31) by 5:31 divided by 5 = 6 remainder 1
3
9 3 1 5 1 8
4
Then divide the new number in the units column (31) by 5:31 divided by 5 = 6 remainder 1The 6 is placed directly above the 31 in the units column
3
9 3 1 5 1 8 6
4
Then divide the new number in the units column (31) by 5:31 divided by 5 = 6 remainder 1The 6 is placed directly above the 31 in the units column
3
9 3 1 5 1 8 6
4
Then divide the new number in the units column (31) by 5:31 divided by 5 = 6 remainder 1You can then do one of 3 things with the remainder of 1
3
9 3 1 5 1 8 6
4
a) You can just put it next to the 186
3
9 3 1 5 1 8 6 r 1
4
a) You can just put it next to the 186, to give the answer:931 divided by 5 = 186 r 1
3
9 3 1 5 1 8 6
4
b) You can express it as a fraction by making the remainder the numerator and the number you’ve divided by the denominator
3
9 3 1 5 1 8 6 1/5
4
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
3
9 3 1 5 1 8 6
4
c) You can add a decimal point and a zero behind the number under the division bar
3
9 3 1. 05 1 8 6
4
c) You can add a decimal point and a zero behind the number under the division bar
3
9 3 1. 05 1 8 6
4
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:
3
9 3 1. 05 1 8 6.
4
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:
3
9 3 1. 05 1 8 6.
4
c) The remainder is then placed next to the zero
3
9 3 1. 05 1 8 6.
4
c) The remainder is then placed next to the zero
3 1
9 3 1. 05 1 8 6.
4
c) The remainder is then placed next to the zero. The new number (10) is the tenths column is then divided by 5
3 1
9 3 1. 05 1 8 6.
4
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
3 1
9 3 1. 05 1 8 6.
4
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 = 2The 2 is placed in the tenths column above the 10
3 1
9 3 1. 05 1 8 6. 2
4
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 = 2The 2 is placed in the tenths column above the 10
3 1
9 3 1. 05 1 8 6. 2
4
c) 931 divided by 5 = 186.2
3 1
That’s it for now......
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