Long Division

Long division is a method for dividing larger numbers.

The Method

Divide 432 by 15:

1. Divide: How many 15s go into 43? 2 (15 x 2 = 30)
2. Multiply: 15 x 2 = 30
3. Subtract: 43 - 30 = 13
4. Bring down: Bring down the 2, making 132
5. Repeat: How many 15s go into 132? 8 (15 x 8 = 120)
6. Subtract: 132 - 120 = 12
7. Remainder: 12 is less than 15, so it's the remainder

Answer: 432 / 15 = 28 remainder 12

Checking Your Answer

quotient x divisor + remainder = dividend 28 x 15 + 12 = 420 + 12 = 432. Correct!

Tips for Success

1. Know your times tables
2. Write neatly — columns must line up
3. Check your subtraction
4. Estimate first

Practice Problems

1. 546 / 12 = ?
2. 729 / 9 = ?
3. 1248 / 24 = ?
4. 3575 / 25 = ?
5. 918 / 18 = ?