# What is the quotient and remainder for 52-:8?

Aug 12, 2016

$\frac{52}{8} = 6$ with a remainder of 4

#### Explanation:

A quotient is the answer to a division operation.

$\frac{52}{8} = 6$ with a remainder of 4

$6 \times 8 = 48 \mathmr{and} 52 - 48 = 4$

$\frac{52}{8}$ can also be shown as a mixed number which shows a whole number and the remainder as a fraction of 8.

$\frac{52}{8} = 6 \frac{4}{8} = 6 \frac{1}{2} \text{ } \leftarrow$ simplest form

Aug 12, 2016

Have a look:

#### Explanation:

The division is a way of forming, starting from a certain fixed quantity, smaller groups all made up of the same number of elements.
In this case you have the big amount $52$ and you need to know how many smaller groups you can make, each one containing $8$ elements.

It is like to have drawers:
you have $52$ shirts and in each drawer fits only $8$ of them; how many drawers can we fill completely?
We can see that for sure we can fill $6$ drawers; in fact we will use $6 \times 8 = 48$ shirts.
There will be $4$ shirts left! They will not be able to fill the seventh drawer so we keep them out and call them the remainder!
So basically we get:
$52 : 8 = 6$
with a remainder of $4$