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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