What is the $100^\text{th}$ digit to the right of the decimal point in the decimal form of $4/37$?
$\text{(A)}\ 0 \qquad \text{(B)}\ 1 \qquad \text{(C)}\ 2 \qquad \text{(D)}\ 7 \qquad \text{(E)}\ 8$
$\frac{4}{37}=\frac{12}{111}=\frac{108}{999}=0.108108108...$
Since this repeats every three digits, digit number x = digit number (x mod 3), and the 100th digit = (100 mod 3)th digit = 1st digit = $\boxed{\text{(B)}\ 1}$