﻿ What does division really mean? [answered] with interactive example

# The meaining of division

So, let's explroe what it division means. Let's start with a specific problem. Let's look at $\boxed{ 6 \div 3 }$ If you read theat first problem out loud, you would say"What is 6 divided by 3 ?

The symbol for divide is $$\div$$.

#### Ok, but what does this all mean ?

$$6 \div 3$$ means : How many groups of 3 are in 6 . As you can see, there are 2 groups of 3 in 6 .

### So, what does 'evenly divide' mean?

If one number evenly divides another number, then that first divides the second without any remainder.

#### Example

• 3 evenly divides 21 because $$12 \div 3 = 7$$, which is an integer.
• Think of this definition this way: when one number divides another into an exact integer with nothing left over, no remainder, then you know that the one number evenly divides the other.

#### Non Example

• 3 does not evenly divide 22 because $$\div 22= 7$$ plus a remainder of 1

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