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Long Division Practice

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Long Division Practice

Use the long-division method to solve each problem. Show your working. For division with a remainder, write the quotient and remainder.

Division Vocabulary

1.Match each division word to its meaning.

Dividend
Divisor
Quotient
Remainder

The amount left over
The answer to a division calculation
The number being divided
The number you divide by

2.For 252 ÷ 7, state the dividend and the divisor.

Long Division Calculations

Work out each division using the long-division method. Show your steps.

3.Calculate 252 ÷ 7.

4.Calculate 437 ÷ 8. Give your answer as a quotient with a remainder.

5.Calculate 294 ÷ 6.

6.Calculate 3,456 ÷ 4.

Estimation and Checking

7.Estimate 316 ÷ 4 by rounding 316 to a nearby multiple of 4. Then calculate the exact answer and say whether your estimate was close.

8.Is 168 ÷ 3 = 56 a reasonable answer? Choose yes or no and briefly justify your choice.

9.Is 728 ÷ 8 = 81 a reasonable answer? Choose yes or no and briefly justify your choice.

Division in Everyday Situations

For each problem, give the number of full groups or containers and state what is left over.

10.A sports club has 283 cones to share equally among teams of 8. How many teams can receive 8 cones, and how many cones will remain?

11.A fruit grower packs 1,367 apples into crates that hold 9 apples each. How many crates can be filled completely, and how many apples are left?

Challenge

12.Calculate 2,583 ÷ 7. Write the quotient and remainder.

13.A hall has 1,946 chairs. Workers arrange them in rows of 6. How many complete rows can they make, and how many chairs will be in the incomplete row?

14.Describe the main steps for dividing a number using long division. Include what you do with any remainder.