Long division
You learn long division: dividing a big number bit by bit, from left to right.
How to work it out
- Find multiples of the divisor.
- Divide, multiply, subtract, and bring down the next digit until complete.
6 )438734218180
| 1× | 2× | 3× | 5× | 10× |
|---|---|---|---|---|
| 6 | 12 | 18 | 30 | 60 |
438 ÷ 6
- Make a list: 6, 12, 30, 60.
- The 4 is too small, so take 43: 6 goes in 7 times, 6 × 7 = 42, and 1 is left over.
- Bring down the 8: 18.
- 6 goes in 3 times, 6 × 3 = 18, and 0 is left over.
- The answer is 73.
More examples
952 ÷ 7
- Take 9: 7 goes in once, and 2 is left over.
- Bring down the 5: 25.
- 7 goes in 3 times, 7 × 3 = 21, and 4 is left over.
- Bring down the 2: 42.
- 7 goes in 6 times, 7 × 6 = 42.
- The answer is 136.
738 ÷ 5
- Take 7: 5 goes in once, and 2 is left over.
- Bring down the 3: 23.
- 5 goes in 4 times, 5 × 4 = 20, and 3 is left over.
- Bring down the 8: 38.
- 5 goes in 7 times, 5 × 7 = 35, and 3 is left over.
- There are no more digits to bring down, so that 3 is the remainder.
- The answer is 147 remainder 3.