2001 Pascal Problem 2

When 12\,345\,678 is divided by 10, the remainder is

\textbf{(A)}\ 0\quad \textbf{(B)}\ 2\quad \textbf{(C)}\ 4\quad \textbf{(D)}\ 6\quad \textbf{(E)}\ 8

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 Pascal contests here.