Question

when you are dividing two decimals how can you check whether you have divided the decimals correctly?

Answer 1

A.) Use a calculator.
B.) Multiply the quotient (answer) by the divisor and see if it matches with the dividend.  

Answer 2

Dividing two decimals means that we need to make the following math operation:

$\frac{p}{q} \\ \\ where \ p \ and \ q \ are \ two \ decimals$

According to the following definition:

$If \ p \ and \ d \ are \ two \ real \ numbers \ (two \ decimals) \ it \ is \ true \ that:\\ \\ p=d\times q+r \\ \\ where:\\ \\ p:Dividend \\ d:Divisor \\q:Quotient \\ r:Reminder$

We can prove that our result is correct by multiplying the divisor by the quotient plus the reminder and verifying that this result matches the dividend. Also, we can use a calculator to prove that.