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How do you divide 4 digit numbers?

Learn how to break down a calculation when dividing a 4-digit number by a 1-digit number.

Example 1

What is 6396 divided by 3?

In this example we will break down the calculation using place value counters.

The place value chart shows the number 6396. There are 6 thousands, 3 hundreds, 9 tens and 6 ones. To divide this by 3, look at the values in the individual columns.

6 thousands divided by 3 is 2 thousands, 3 hundreds divided by 3 is 1 hundred, 9 tens divided by 3 is 3 tens and 6 divided by 3 is 2 ones.

So 6396 梅 3 = 2132.

Image gallerySkip image gallerySlide 1 of 2, A place value chart showing 6396 divided into thousands, hundreds, tens and ones and the same counters separated into 3 groups, Here is 6396 represented in a place value chart. There are 6 thousands, 3 hundreds, 9 tens and 6 ones. To divide the number, you separate the counters into 3 groups.
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Example 2

What is 1248 divided by 4?

This is dividing a 4 digit number by a 1 digit number, but without the place value counters.

Image gallerySkip image gallerySlide 1 of 4, 1248 divided by 4 equals 312, 12 hundreds divided by 4 is 300, four tens divided by 4 is 10, 8 divided by 4 is 2. 300 add 10 add 12 is 312.
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Example 3

What is 7580 divided by 5?

Image gallerySkip image gallerySlide 1 of 6, What is 7580 divided by 5?,
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Example 4

6324 梅 6 = 1054

What is 6324 divided by 6?

6 divided into 6 (thousands) goes exactly once 鈥 no remainder.

6 cannot be divided into 3 鈥 there is not even one six in three! So just move the 3 (hundreds) to make 32 (tens).

6 divided into 32 (tens) goes 5 (tens) and 2 (tens) left over.

6 divided into 24 (ones) goes exactly 4 (ones) 鈥 no remainder.

6324 梅 6 = 1054
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Activities

Activity 1

The Greatest Remainder

  • The aim of this game is to be the player with the greatest remainder at the end! Take it in turn to roll a dice. Write down your number each time. Roll the dice four times each so that you each have a 4-digit number, such as 2396.

  • Now that each of you has a 4-digit number, each player chooses a number between 3 and 9. Divide your 4-digit number by this number.

  • The player with the greatest remainder wins, as long as their calculation is correct!

  • Extension: Play the game again. This time, the aim is to be the player with the smallest remainder. How will this affect how you play?

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Quiz 1

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Quiz 2

Now test your knowledge with this quiz.

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More on Multiplying and dividing

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