This document provides step-by-step instructions for dividing a 3-digit number by a 2-digit number using long division. It uses the example of 895 divided by 15. It shows how to place the numbers in the division bar, find the closest multiple of the divisor to divide each column, bring down remaining digits, and provide the quotient and remainder. The full division is shown with a quotient of 59 and remainder of 10, so 895 divided by 15 equals 59 remainder 10.

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
15
895

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
15 8 9 5

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
The 5 is placed in the tens column directly above the 9
5
15 8 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
The 5 is placed in the tens column directly above the 9
5
15 8 9 5
The 75 from 5 x15 =
75 goes directly below
-7 5
the 89

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
The 5 is placed in the tens column directly above the 9
5
15 8 9 5
The 75 from 5 x15 =
75 goes directly below
-7 5
the 89
14
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
The 5 is placed in the tens column directly above the 9
5
15 8 9 5
The 75 from 5 x15 =
75 goes directly below
-7 5
the 89
145
The remainder,
the difference
between 89 & 75,
goes under the 75
The number from
the units column is
then dropped down
next to the 14

8. Now try to divide this new number (145) by 15:
In this case, the closest multiple of 15 is: 9 x 5 = 135
5
15 8 9 5
-7 5
14 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
The 9 is placed in the units column directly above the 5
59
15 8 9 5
-7 5
14 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
The 9 is placed in the units column directly above the 5
59
15 8 9 5
-7 5
14 5
The 135 from 9 x15 =
135 goes directly
-1 3 5
below the 145

11. Now try to divide this new number (145) by 15:
In this case, the closest multiple of 15 is: 9 x 5 = 135
The 9 is placed in the units column directly above the 5
59
15 8 9 5
-7 5
14 5
The 135 from 9 x15 =
135 goes directly
-1 3 5
below the 145
10
The remainder, the
difference between 145 &
135, goes under the 135

12. Now try to divide this new number (145) by 15:
In this case, the closest multiple of 15 is: 9 x 5 = 135
The 9 is placed in the units column directly above the 5
59
15 8 9 5
-7 5
14 5
The 135 from 9 x15 =
135 goes directly
-1 3 5
below the 145
10
The remainder, the
difference between 145 &
135, goes under the 135
In 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
The 9 is placed in the units column directly above the 5
59
15 8 9 5
-7 5
14 5
The 135 from 9 x15 =
135 goes directly
-1 3 5
below the 145
10
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The remainder, the
difference between 145 &
135, goes under the 135
In this question the remainder is 10,
so 895 ÷ 15 = 59 r 10