Year 6: Written division with answers to two decimal places
Part of the Year 6 decimals chapter. Chapter overview · whole chapter on one page
Written division with answers to two decimal places
Long division lets you divide a number that does not divide exactly. Share the number out one digit at a time, starting from the left. Each time, ask: how many groups fit? Write the answer above the number, and the leftover is the remainder.
When you run out of digits and there is still a remainder, bring down a 0 after the decimal point. Write the decimal point in the answer, directly above the point in the number. Keep going until the remainder is 0, and stop when the answer has two decimal places.
Key ideas
- Put the number inside the bracket and the divisor outside it. The answer goes above.
- When the digits run out and the remainder is not 0, bring down a 0 and keep dividing.
- Write the decimal point in the answer above the decimal point in the number, as soon as you reach it.
- Check the answer by multiplying it by the divisor. The result should be the number you started with.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
1.75 4 ) 7.00 4 - 30 28 -- 20 20 -- 0 - Start with the first digit, 7. How many 4s go into 7? 1, because 1 × 4 = 4.7 ÷ 4 = 1, remainder 3
- Bring down a 0, so we have 30. Write the decimal point in the answer now, above the point. How many 4s go into 30? 7, because 7 × 4 = 28.30 ÷ 4 = 7, remainder 2
- Bring down a 0, so we have 20. How many 4s go into 20? 5, because 5 × 4 = 20.20 ÷ 4 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.1.75
Check. 1.75 × 4 = 7. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
5.5 5 ) 27.5 0 - 27 25 -- 25 25 -- 0 - Start with the first digit, 2. 5 does not go into 2, so this digit of the answer is 0.2 ÷ 5 = 0, remainder 2
- Bring down the next digit, so we have 27. How many 5s go into 27? 5, because 5 × 5 = 25.27 ÷ 5 = 5, remainder 2
- Bring down the next digit, so we have 25. Write the decimal point in the answer now, above the point. How many 5s go into 25? 5, because 5 × 5 = 25.25 ÷ 5 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.5.5
Check. 5.5 × 5 = 27.5. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
2.1 6 ) 12.6 0 - 12 12 -- 6 6 - 0 - Start with the first digit, 1. 6 does not go into 1, so this digit of the answer is 0.1 ÷ 6 = 0, remainder 1
- Bring down the next digit, so we have 12. How many 6s go into 12? 2, because 2 × 6 = 12.12 ÷ 6 = 2, remainder 0
- Bring down the next digit, so we have 6. Write the decimal point in the answer now, above the point. How many 6s go into 6? 1, because 1 × 6 = 6.6 ÷ 6 = 1, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.2.1
Check. 2.1 × 6 = 12.6. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Watch out
Do not stop at a remainder. 7 ÷ 4 is 1 remainder 3 only if you are asked for a whole-number answer. Otherwise, bring down a 0 and write 1.75.
Exam tip
Exam tip. Write the decimal point in the answer as soon as you bring down the first digit after the point in the number.
Exercise 5D Written division with answers to two decimal places
Non-calculatorKey words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
1.75 4 ) 7.00 4 - 30 28 -- 20 20 -- 0 - Start with the first digit, 7. How many 4s go into 7? 1, because 1 × 4 = 4.7 ÷ 4 = 1, remainder 3
- Bring down a 0, so we have 30. Write the decimal point in the answer now, above the point. How many 4s go into 30? 7, because 7 × 4 = 28.30 ÷ 4 = 7, remainder 2
- Bring down a 0, so we have 20. How many 4s go into 20? 5, because 5 × 4 = 20.20 ÷ 4 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.1.75
Check. 1.75 × 4 = 7. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
1.8 5 ) 9.0 5 - 40 40 -- 0 - Start with the first digit, 9. How many 5s go into 9? 1, because 1 × 5 = 5.9 ÷ 5 = 1, remainder 4
- Bring down a 0, so we have 40. Write the decimal point in the answer now, above the point. How many 5s go into 40? 8, because 8 × 5 = 40.40 ÷ 5 = 8, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.1.8
Check. 1.8 × 5 = 9. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
3.25 8 ) 26.00 0 - 26 24 -- 20 16 -- 40 40 -- 0 - Start with the first digit, 2. 8 does not go into 2, so this digit of the answer is 0.2 ÷ 8 = 0, remainder 2
- Bring down the next digit, so we have 26. How many 8s go into 26? 3, because 3 × 8 = 24.26 ÷ 8 = 3, remainder 2
- Bring down a 0, so we have 20. Write the decimal point in the answer now, above the point. How many 8s go into 20? 2, because 2 × 8 = 16.20 ÷ 8 = 2, remainder 4
- Bring down a 0, so we have 40. How many 8s go into 40? 5, because 5 × 8 = 40.40 ÷ 8 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.3.25
Check. 3.25 × 8 = 26. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
11.25 4 ) 45.00 4 - 5 4 - 10 8 -- 20 20 -- 0 - Start with the first digit, 4. How many 4s go into 4? 1, because 1 × 4 = 4.4 ÷ 4 = 1, remainder 0
- Bring down the next digit, so we have 5. How many 4s go into 5? 1, because 1 × 4 = 4.5 ÷ 4 = 1, remainder 1
- Bring down a 0, so we have 10. Write the decimal point in the answer now, above the point. How many 4s go into 10? 2, because 2 × 4 = 8.10 ÷ 4 = 2, remainder 2
- Bring down a 0, so we have 20. How many 4s go into 20? 5, because 5 × 4 = 20.20 ÷ 4 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.11.25
Check. 11.25 × 4 = 45. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
5.5 5 ) 27.5 0 - 27 25 -- 25 25 -- 0 - Start with the first digit, 2. 5 does not go into 2, so this digit of the answer is 0.2 ÷ 5 = 0, remainder 2
- Bring down the next digit, so we have 27. How many 5s go into 27? 5, because 5 × 5 = 25.27 ÷ 5 = 5, remainder 2
- Bring down the next digit, so we have 25. Write the decimal point in the answer now, above the point. How many 5s go into 25? 5, because 5 × 5 = 25.25 ÷ 5 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.5.5
Check. 5.5 × 5 = 27.5. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
0.75 4 ) 3.00 0 - 30 28 -- 20 20 -- 0 - Start with the first digit, 3. 4 does not go into 3, so this digit of the answer is 0.3 ÷ 4 = 0, remainder 3
- Bring down a 0, so we have 30. Write the decimal point in the answer now, above the point. How many 4s go into 30? 7, because 7 × 4 = 28.30 ÷ 4 = 7, remainder 2
- Bring down a 0, so we have 20. How many 4s go into 20? 5, because 5 × 4 = 20.20 ÷ 4 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.0.75
Check. 0.75 × 4 = 3. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
1.25 2 ) 2.50 2 - 5 4 - 10 10 -- 0 - Start with the first digit, 2. How many 2s go into 2? 1, because 1 × 2 = 2.2 ÷ 2 = 1, remainder 0
- Bring down the next digit, so we have 5. Write the decimal point in the answer now, above the point. How many 2s go into 5? 2, because 2 × 2 = 4.5 ÷ 2 = 2, remainder 1
- Bring down a 0, so we have 10. How many 2s go into 10? 5, because 5 × 2 = 10.10 ÷ 2 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.1.25
Check. 1.25 × 2 = 2.5. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
0.21 4 ) 0.84 0 - 8 8 - 4 4 - 0 - Start with the first digit, 0. 4 does not go into 0, so this digit of the answer is 0.0 ÷ 4 = 0, remainder 0
- Bring down the next digit, so we have 8. Write the decimal point in the answer now, above the point. How many 4s go into 8? 2, because 2 × 4 = 8.8 ÷ 4 = 2, remainder 0
- Bring down the next digit, so we have 4. How many 4s go into 4? 1, because 1 × 4 = 4.4 ÷ 4 = 1, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.0.21
Check. 0.21 × 4 = 0.84. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
4.25 4 ) 17.00 0 - 17 16 -- 10 8 -- 20 20 -- 0 - Start with the first digit, 1. 4 does not go into 1, so this digit of the answer is 0.1 ÷ 4 = 0, remainder 1
- Bring down the next digit, so we have 17. How many 4s go into 17? 4, because 4 × 4 = 16.17 ÷ 4 = 4, remainder 1
- Bring down a 0, so we have 10. Write the decimal point in the answer now, above the point. How many 4s go into 10? 2, because 2 × 4 = 8.10 ÷ 4 = 2, remainder 2
- Bring down a 0, so we have 20. How many 4s go into 20? 5, because 5 × 4 = 20.20 ÷ 4 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.4.25
Check. 4.25 × 4 = 17. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
1.4 6 ) 8.4 6 - 24 24 -- 0 - Start with the first digit, 8. How many 6s go into 8? 1, because 1 × 6 = 6.8 ÷ 6 = 1, remainder 2
- Bring down the next digit, so we have 24. Write the decimal point in the answer now, above the point. How many 6s go into 24? 4, because 4 × 6 = 24.24 ÷ 6 = 4, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.1.4
Check. 1.4 × 6 = 8.4. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
0.9 6 ) 5.4 0 - 54 54 -- 0 - Start with the first digit, 5. 6 does not go into 5, so this digit of the answer is 0.5 ÷ 6 = 0, remainder 5
- Bring down the next digit, so we have 54. Write the decimal point in the answer now, above the point. How many 6s go into 54? 9, because 9 × 6 = 54.54 ÷ 6 = 9, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.0.9
Check. 0.9 × 6 = 5.4. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
1.25 5 ) 6.25 5 - 12 10 -- 25 25 -- 0 - Start with the first digit, 6. How many 5s go into 6? 1, because 1 × 5 = 5.6 ÷ 5 = 1, remainder 1
- Bring down the next digit, so we have 12. Write the decimal point in the answer now, above the point. How many 5s go into 12? 2, because 2 × 5 = 10.12 ÷ 5 = 2, remainder 2
- Bring down the next digit, so we have 25. How many 5s go into 25? 5, because 5 × 5 = 25.25 ÷ 5 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.1.25
Check. 1.25 × 5 = 6.25. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
2.4 4 ) 9.6 8 - 16 16 -- 0 - Start with the first digit, 9. How many 4s go into 9? 2, because 2 × 4 = 8.9 ÷ 4 = 2, remainder 1
- Bring down the next digit, so we have 16. Write the decimal point in the answer now, above the point. How many 4s go into 16? 4, because 4 × 4 = 16.16 ÷ 4 = 4, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.2.4
Check. 2.4 × 4 = 9.6. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Use the inverse. Multiply the answer by 4 to find the number we started with.
- Write the division as a multiplication. If ? ÷ 4 = 1.75, then 1.75 × 4 = ?.? = 1.75 × 4
- Multiply. Use the column method and keep the two decimal places.1.75 × 4 = 7.00
- Write the answer. The missing number is 7.7.00
Check. 7.00 ÷ 4 = 1.75. ✓
Watch out. Multiplying is the opposite of dividing, so it undoes the division.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
1.65 8 ) 13.20 0 - 13 8 -- 52 48 -- 40 40 -- 0 - Start with the first digit, 1. 8 does not go into 1, so this digit of the answer is 0.1 ÷ 8 = 0, remainder 1
- Bring down the next digit, so we have 13. How many 8s go into 13? 1, because 1 × 8 = 8.13 ÷ 8 = 1, remainder 5
- Bring down the next digit, so we have 52. Write the decimal point in the answer now, above the point. How many 8s go into 52? 6, because 6 × 8 = 48.52 ÷ 8 = 6, remainder 4
- Bring down a 0, so we have 40. How many 8s go into 40? 5, because 5 × 8 = 40.40 ÷ 8 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.1.65
Check. 1.65 × 8 = 13.2. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
0.6 5 ) 3.0 0 - 30 30 -- 0 - Start with the first digit, 3. 5 does not go into 3, so this digit of the answer is 0.3 ÷ 5 = 0, remainder 3
- Bring down a 0, so we have 30. Write the decimal point in the answer now, above the point. How many 5s go into 30? 6, because 6 × 5 = 30.30 ÷ 5 = 6, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.0.6
Check. 0.6 × 5 = 3. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
1.80 8 ) 14.40 0 - 14 8 -- 64 64 -- 0 0 - 0 - Start with the first digit, 1. 8 does not go into 1, so this digit of the answer is 0.1 ÷ 8 = 0, remainder 1
- Bring down the next digit, so we have 14. How many 8s go into 14? 1, because 1 × 8 = 8.14 ÷ 8 = 1, remainder 6
- Bring down the next digit, so we have 64. Write the decimal point in the answer now, above the point. How many 8s go into 64? 8, because 8 × 8 = 64.64 ÷ 8 = 8, remainder 0
- Bring down the next digit, so we have 0. 8 does not go into 0, so this digit of the answer is 0.0 ÷ 8 = 0, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.1.80
Check. 1.80 × 8 = 14.40. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
1.8 4 ) 7.2 4 - 32 32 -- 0 - Start with the first digit, 7. How many 4s go into 7? 1, because 1 × 4 = 4.7 ÷ 4 = 1, remainder 3
- Bring down the next digit, so we have 32. Write the decimal point in the answer now, above the point. How many 4s go into 32? 8, because 8 × 4 = 32.32 ÷ 4 = 8, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.1.8
Check. 1.8 × 4 = 7.2. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
4.20 3 ) 12.60 0 - 12 12 -- 6 6 - 0 0 - 0 - Start with the first digit, 1. 3 does not go into 1, so this digit of the answer is 0.1 ÷ 3 = 0, remainder 1
- Bring down the next digit, so we have 12. How many 3s go into 12? 4, because 4 × 3 = 12.12 ÷ 3 = 4, remainder 0
- Bring down the next digit, so we have 6. Write the decimal point in the answer now, above the point. How many 3s go into 6? 2, because 2 × 3 = 6.6 ÷ 3 = 2, remainder 0
- Bring down the next digit, so we have 0. 3 does not go into 0, so this digit of the answer is 0.0 ÷ 3 = 0, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.4.20
Check. 4.20 × 3 = 12.60. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
0.75 4 ) 3.00 0 - 30 28 -- 20 20 -- 0 - Start with the first digit, 3. 4 does not go into 3, so this digit of the answer is 0.3 ÷ 4 = 0, remainder 3
- Bring down a 0, so we have 30. Write the decimal point in the answer now, above the point. How many 4s go into 30? 7, because 7 × 4 = 28.30 ÷ 4 = 7, remainder 2
- Bring down a 0, so we have 20. How many 4s go into 20? 5, because 5 × 4 = 20.20 ÷ 4 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.0.75
Check. 0.75 × 4 = 3. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
0.25 8 ) 2.00 0 - 20 16 -- 40 40 -- 0 - Start with the first digit, 2. 8 does not go into 2, so this digit of the answer is 0.2 ÷ 8 = 0, remainder 2
- Bring down a 0, so we have 20. Write the decimal point in the answer now, above the point. How many 8s go into 20? 2, because 2 × 8 = 16.20 ÷ 8 = 2, remainder 4
- Bring down a 0, so we have 40. How many 8s go into 40? 5, because 5 × 8 = 40.40 ÷ 8 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.0.25
Check. 0.25 × 8 = 2. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
1.5 6 ) 9.0 6 - 30 30 -- 0 - Start with the first digit, 9. How many 6s go into 9? 1, because 1 × 6 = 6.9 ÷ 6 = 1, remainder 3
- Bring down a 0, so we have 30. Write the decimal point in the answer now, above the point. How many 6s go into 30? 5, because 5 × 6 = 30.30 ÷ 6 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.1.5
Check. 1.5 × 6 = 9. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Look at how many decimal places each answer has, then decide.
- Write down the decimal places. Count the digits after the point in each answer.3 ÷ 4 = 0.75 (2 places); 2 ÷ 8 = 0.25 (2 places); 9 ÷ 6 = 1.5 (1 place)
- Choose the two that have exactly two decimal places. The third answer only has one decimal place.a and b
Check. 9 ÷ 6 = 1.5, which has one decimal place. ✓
Watch out. Do not count the places in the question. Count the places in the answer.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Share the number out one digit at a time. Put the decimal point in the answer when you reach it in the number.
- Set out the layout. The number being divided goes inside the bracket. The answer goes above it.
0.45 8 ) 3.60 0 - 36 32 -- 40 40 -- 0 - Start with the first digit, 3. 8 does not go into 3, so this digit of the answer is 0.3 ÷ 8 = 0, remainder 3
- Bring down the next digit, so we have 36. Write the decimal point in the answer now, above the point. How many 8s go into 36? 4, because 4 × 8 = 32.36 ÷ 8 = 4, remainder 4
- Bring down a 0, so we have 40. How many 8s go into 40? 5, because 5 × 8 = 40.40 ÷ 8 = 5, remainder 0
- Write the answer. Keep going until the remainder is 0, or until you have the places you need.0.45
Check. 0.45 × 8 = 3.6. ✓
Watch out. Do not forget the decimal point in the answer. Bring down zeros only after you have used all the digits of the number.
Key words. In long division, the dividend is the number being divided, the divisor is the number we divide by, and the remainder is what is left over. Bring down a 0 after the decimal point to keep going.
Method. Multiply the answer by 8 to check it.
- Multiply the answer by the divisor. If the division is right, we get the number we started with.0.45 × 8 = 3.60
- Compare with the number in the question. 3.60 and 3.6 are the same number.3.60 = 3.6
- Write the answer. The division is correct.0.45
Check. 0.45 × 8 = 3.60, which is 3.6. ✓
Watch out. Write the number with the same number of decimal places as you start with.