Dividing a 3 digit Number by a 2 Digit Number

1. Dividing a 3 Digit Number by a 2
Digit Number
For Example: 895 ÷ 15
Using Long Division
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2. First put the large number inside
the division bar and the smaller
number outside
For Example: 895 ÷ 15
8 9 51 5

3. Now try to divide the number in the hundreds and tens column (89) by 15:
In this case, the closest multiple of 15 is: 5 x 15 = 75
8 9 515

4. Now try to divide the number in the hundreds and tens column (89) by 15:
In this case, the closest multiple of 15 is: 5 x 15 = 75
8 9 515
The 5 is placed in the tens column directly above the 9
5

5. Now try to divide the number in the hundreds and tens column (89) by 15:
In this case, the closest multiple of 15 is: 5 x 15 = 75
8 9 515
The 5 is placed in the tens column directly above the 9
5
The 75 from 5 x15 =
75 goes directly below
the 89 -7 5

6. Now try to divide the number in the hundreds and tens column (89) by 15:
In this case, the closest multiple of 15 is: 5 x 15 = 75
8 9 515
The 5 is placed in the tens column directly above the 9
5
The 75 from 5 x15 =
75 goes directly below
the 89 -7 5
1 4
The remainder,
the difference
between 89 & 75,
goes under the 75

7. Now try to divide the number in the hundreds and tens column (89) by 15:
In this case, the closest multiple of 15 is: 5 x 15 = 75
8 9 515
The 5 is placed in the tens column directly above the 9
5
The 75 from 5 x15 =
75 goes directly below
the 89 -7 5
1 4
The remainder,
the difference
between 89 & 75,
goes under the 75
The number from
the units column is
then dropped down
next to the 145

8. Now try to divide this new number (145) by 15:
In this case, the closest multiple of 15 is: 9 x 5 = 135
8 9 515
-7 5
1 45
5

9. Now try to divide this new number (145) by 15:
In this case, the closest multiple of 15 is: 9 x 5 = 135
8 9 515
The 9 is placed in the units column directly above the 5
9
-7 5
1 45
5

10. Now try to divide this new number (145) by 15:
In this case, the closest multiple of 15 is: 9 x 5 = 135
8 9 515
The 9 is placed in the units column directly above the 5
9
The 135 from 9 x15 =
135 goes directly
below the 145
-7 5
1 45
5
-1 3 5

11. Now try to divide this new number (145) by 15:
In this case, the closest multiple of 15 is: 9 x 5 = 135
8 9 515
The 9 is placed in the units column directly above the 5
9
The 135 from 9 x15 =
135 goes directly
below the 145
-7 5
1 4
The remainder, the
difference between 145 &
135, goes under the 135
5
5
-1 3 5
1 0

12. Now try to divide this new number (145) by 15:
In this case, the closest multiple of 15 is: 9 x 5 = 135
8 9 515
The 9 is placed in the units column directly above the 5
9
The 135 from 9 x15 =
135 goes directly
below the 145
-7 5
1 4
The remainder, the
difference between 145 &
135, goes under the 135
5
5
-1 3 5
1 0In this question the remainder is 10,
so 895 ÷ 15 = 59 r 10

13. Now try to divide this new number (145) by 15:
In this case, the closest multiple of 15 is: 9 x 5 = 135
8 9 515
The 9 is placed in the units column directly above the 5
9
The 135 from 9 x15 =
135 goes directly
below the 145
-7 5
1 4
The remainder, the
difference between 145 &
135, goes under the 135
5
5
-1 3 5
1 0In this question the remainder is 10,
so 895 ÷ 15 = 59 r 10
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