Long division by two digits
You learn long division by a two-digit number, using a list to help you.
How to work it out
- Write out the multiples: 1, 2, 3, 5 and 10 times the number you divide by.
- From the left, take the smallest piece it goes into.
- Look in your list how many times it goes, take that away and bring down the next digit.
- Keep going until all the digits are used.
12 )336282496960
| 1× | 2× | 3× | 5× | 10× |
|---|---|---|---|---|
| 12 | 24 | 36 | 60 | 120 |
336 ÷ 12
- Make a list: 12, 24, 60, 120.
- Take 33: 12 goes in 2 times, 2 × 12 = 24, and 9 is left over.
- Bring down the 6: 96.
- 12 goes in 8 times, because 5 × 12 = 60 and 3 × 12 = 36, which makes 96.
- The answer is 28.
More examples
468 ÷ 18
- Make a list: 18, 36, 90, 180.
- Take 46: 18 goes in 2 times, 2 × 18 = 36, and 10 is left over.
- Bring down the 8: 108.
- 18 goes in 6 times, because 5 × 18 = 90 and 1 × 18 = 18, which makes 108.
- The answer is 26.
255 ÷ 15
- Make a list: 15, 30, 75, 150.
- Take 25: 15 goes in once, and 10 is left over.
- Bring down the 5: 105.
- 15 goes in 7 times, because 5 × 15 = 75 and 2 × 15 = 30, which makes 105.
- The answer is 17.
336 ÷ 12
- Make a list: 12, 24, 60, 120.
- Take away 10 × 12 = 120: 336 − 120 = 216.
- Take away another 10 × 12 = 120: 216 − 120 = 96.
- Take away 5 × 12 = 60: 96 − 60 = 36.
- Take away 2 × 12 = 24: 36 − 24 = 12.
- Take away 1 × 12 = 12: 12 − 12 = 0.
- Add up the chunks: 10 + 10 + 5 + 2 + 1 = 28.
- The answer is 28.
12336−24020 ×96−605 ×36−242 ×12−121 ×0
20 + 5 + 2 + 1 = 28
| 1× | 2× | 5× | 10× | 20× |
|---|---|---|---|---|
| 12 | 24 | 60 | 120 | 240 |