2005 Cayley Problem 3

When 45 is divided by 7, the remainder is 3. What is the remainder when 70 is divided by 17?

\textbf{(A)}\ 1\quad \textbf{(B)}\ 12\quad \textbf{(C)}\ 15\quad \textbf{(D)}\ 2\quad \textbf{(E)}\ 11

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.