8. Develop a test for divisibility by 37 , based on the fact that $10^{3} \equiv 1(\bmod 37)$. Use this to check 443692 and 11092785 for divisibility by 37.
8. $a_{2 n} a_{2 n-1} \ldots a_{1} a_{0} \equiv a_{2 n} a_{2 n-1} a_{2 n-2}+\cdots+a_{5} a_{4} a_{3}+a_{2} a_{1} a_{0}(\bmod 37)$,
$37 \backslash 443692,37 \mid 11092785$