Algaebraic Translation question

[la2ny]

Hi,

I understand this problem, but don't understand the translation. It's the last term that confuses me. Why are we dividing d by b?

Question: When a is divided by b, the quotient is c and the remainder is d. Which of the following expressions is equal to d?

Translation: a/b = c + d/b.

Explanation: This question can be answered by considering the division operation. The problem states that a is divided by b, giving quotient c and remainder d. Algebraically, this becomes:

[tim]

d/b is added to c. does this help?

[dsuh.ba]

I am still confused. I would think the equation would be a/b = c + 3. +3 because the remainder is added to the quotient which is c. Can you clarify why d/b is the remainder?

[tim]

this is the definition of division and the definition of remainders. it comes from the division algorithm, which you can look up if you want a more technical explanation that is beyond the scope of the GMAT. for the purposes of the GMAT, you will need to memorize this form of expressing a quotient and remainder..