TITLE: visual proof of the chinese remainder theorem?
QUESTION [5 upvotes]: I have seen visual proofs for fermats little theorem, gauss sum and many other things. I find them very useful. Is there a visual proof for the chinese remainder theorem? Thanks in advance.

REPLY [2 votes]: $$\begin{array}{cc|cccccc}
 & & 0 & 1 & 2 & 3 & 4 & \pmod 5
\\\hline
\\ & 0 & 0 & 6 & 12 & 3 & 9
\\ \pmod 3 & 1 & 10 & 1 & 7 & 13 & 4
\\ & 2 & 5 & 11 & 2 & 8 & 14
\end{array}$$