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.
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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.
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Example 3
What is 7580 divided by 5?
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Example 4
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.
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?
Quiz 1
Quiz 2
Now test your knowledge with this quiz.
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