Remainder theorem

Regarding the remainder theorem is this correct:

f(x) = divisor x quotient + (remainder / divisor)

If you divide by the divisor, the "remainder" part isnt correct. Its just like normal division so
7 = 2*3 + 1
dividend = divisor x quotient + remainder
or
7/3 = 2 + 1/3
dividend / divisor = quotient + remainder / divisor