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Long Division Problems

In this worksheet, students must solve problems involving dividing numbers up to 4 digits by a two-digit number using the formal written method of long division. There will be remainders, which should be interpreted correctly.

'Long Division Problems' worksheet

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Mixed Problems

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

In this worksheet we will solve division problems where we must divide numbers with up to 4 digits by 2-digit numbers using long division.

There will be remainders which then have to be interpreted properly.

 

Example

3904 eggs are packed into boxes of 12.

How many boxes will there be and how many eggs will be left over?

 

Answer

We must divide   3904 ÷ 12

We set out the calculation like this and then divide using long division.

 

 

 

We have shown that    3904 ÷ 12 = 325 r4

 

There will be 325 boxes and 4 eggs will be left over.

NB 4 eggs out of 12 is the same as the fraction 4/12 = 1/3.

£4270 is shared equally between 14 people.

How much does each person get in pounds?

(Just write the number.)

5536 eggs are packed into boxes of 12.

How many full boxes will there be?

5536 eggs are packed into boxes of 12.

How many eggs will be left unpacked?

A hotel owner buys 16 new television sets costing £3396 in total.

How much does each TV cost in pounds?

(Just write the number.)

A vineyard produces 2000 bottles of wine.

They are packed into crates which hold 12 bottles each.

How many full crates will there be?

A vineyard produces 2000 bottles of wine.

They are packed into crates which hold 12 bottles each.

How many bottles will remain unpacked after all the rest are packed into full crates?

A vineyard produces 2000 bottles of wine.

They are packed into crates which hold 12 bottles each.

The remaining bottles are packed into a crate. What fraction of the crate is used?

3/4

2/3

1/2

1/4

Grandpa Tom wins £3500 in the Lottery.

He shares his winnings equally between his 15 grandchildren. 

Each grandchild receives a whole number of pounds and he keeps the change for himself.

How much does each grandchild receive in pounds?

 

(Just write the number.)

Grandpa Tom wins £3500 in the Lottery.

He shares his winnings equally between his 15 grandchildren. 

Each grandchild receives a whole number of pounds and he keeps the change for himself.

How much does he keep for himself in pounds?

 

(Just write the number.)

Grandma Joan wins £1509 in the Lottery.

She shares her winnings equally between herself and her 11 grandchildren.

How much does each person get from the winnings in pounds?

 

(Just write the number, use a decimal point if you need to.)

  • ANSWERS
  • Question 1

£4270 is shared equally between 14 people.

How much does each person get in pounds?

(Just write the number.)

CORRECT ANSWER
305
EDDIE SAYS

\"\"

  • ANSWERS
  • Question 2

5536 eggs are packed into boxes of 12.

How many full boxes will there be?

CORRECT ANSWER
461
EDDIE SAYS

\"\"

  • ANSWERS
  • Question 3

5536 eggs are packed into boxes of 12.

How many eggs will be left unpacked?

CORRECT ANSWER
4
EDDIE SAYS

\"\"

  • ANSWERS
  • Question 4

A hotel owner buys 16 new television sets costing £3396 in total.

How much does each TV cost in pounds?

(Just write the number.)

CORRECT ANSWER
212.25
EDDIE SAYS

\"\"

  • ANSWERS
  • Question 5

A vineyard produces 2000 bottles of wine.

They are packed into crates which hold 12 bottles each.

How many full crates will there be?

CORRECT ANSWER
166
EDDIE SAYS

\"\"

  • ANSWERS
  • Question 6

A vineyard produces 2000 bottles of wine.

They are packed into crates which hold 12 bottles each.

How many bottles will remain unpacked after all the rest are packed into full crates?

CORRECT ANSWER
8
EDDIE SAYS

\"\"

  • ANSWERS
  • Question 7

A vineyard produces 2000 bottles of wine.

They are packed into crates which hold 12 bottles each.

The remaining bottles are packed into a crate. What fraction of the crate is used?

CORRECT ANSWER
2/3
EDDIE SAYS

\"\"

8 out of 12 is 8/12 which reduces to 2/3.
  • ANSWERS
  • Question 8

Grandpa Tom wins £3500 in the Lottery.

He shares his winnings equally between his 15 grandchildren. 

Each grandchild receives a whole number of pounds and he keeps the change for himself.

How much does each grandchild receive in pounds?

 

(Just write the number.)

CORRECT ANSWER
233
EDDIE SAYS

\"\"

  • ANSWERS
  • Question 9

Grandpa Tom wins £3500 in the Lottery.

He shares his winnings equally between his 15 grandchildren. 

Each grandchild receives a whole number of pounds and he keeps the change for himself.

How much does he keep for himself in pounds?

 

(Just write the number.)

CORRECT ANSWER
5
EDDIE SAYS

\"\"

  • ANSWERS
  • Question 10

Grandma Joan wins £1509 in the Lottery.

She shares her winnings equally between herself and her 11 grandchildren.

How much does each person get from the winnings in pounds?

 

(Just write the number, use a decimal point if you need to.)

CORRECT ANSWER
125.75
EDDIE SAYS

\"\"

---- OR ----

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