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