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Mastering Long Division
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Mastering Long Division
Choose the best answer for each multiple-choice question. For calculation questions, show your long-division working and check your answer where asked.
Choose and Match
1.What is the quotient and remainder when 746 is divided by 3?
- 248 remainder 2
- 249 remainder 1
- 247 remainder 5
- 248 remainder 1
2.A useful estimate for 1,176 ÷ 6 is:
- About 20
- About 200
- About 2,000
- About 7,000
3.Which sequence gives the usual order of actions in long division?
- Subtract, divide, bring down, multiply
- Divide, multiply, subtract, bring down
- Multiply, bring down, divide, subtract
- Bring down, subtract, multiply, divide
4.Select every statement that is true about the remainder in a division calculation.
- It must be smaller than the divisor.
- It can be written as a fraction over the divisor.
- It is always equal to the divisor.
- Continuing the division can give a decimal quotient.
5.Match each long-division action to what happens during that action.
- Divide
- Multiply
- Subtract
- Bring down
- Find what is left after taking away the product.
- Find how many times the divisor fits into the current number.
- Move the next dividend digit beside the amount left over.
- Multiply the divisor by the digit just written in the quotient.
Long-Division Practice
6.Calculate 864 ÷ 4 using long division. Show your working.
7.Calculate 1,035 ÷ 5 using long division. Check your quotient by multiplying it by 5.
8.Work out 1,573 ÷ 8. Give the quotient and remainder, then describe what the remainder means if 1,573 items are packed into groups of 8.
9.Challenge: Calculate 5,738 ÷ 14 using long division. Write the whole-number quotient and remainder, then continue to give the decimal answer rounded to one decimal place.
10.In one or two sentences, explain how estimating a quotient before calculating can help you check your work.
3 printable pages
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