Respuesta :

Because all numbers don't perfectly go into other numbers.

Say, for example, that you want to buy a skateboard that costs $50. You only have 3 20 dollar bills in your wallet, so you give the cashier $60 and he gives you $10 in change, because its IMPOSSIBLE to pay $50 exactly if you only have 20 dollar bills. 

We want to see why sometimes in division we see a remainder.

So this only happens when we want to write a quotient as a whole number, for example, if we have the division:

8/2 = 4

You can see that there is no remainder, this happens because 8 is a multiple of 2.

If the numerator is not a multiple of the denominator, for example, 9 divided by 2, we will have:

9/2

We can rewrite it as:

(8 + 1)/2 = 8/2 + 1/2

We know that 8 is a multiple of 2, so we have:

8/2 + 1/2 = 4 + 1/2

and 1/2 is not a whole number, so we say that we have a remainder of 1.

From this, we can define the remainder as the "part that can't be properly divided by the divisor".

Now, if we allow the quotient to be a real number, we will have:

9/2 = 4.5

And in this case, there is no remainder.

If you want to learn more, you can read:

https://brainly.com/question/12979170