AHSME 1993 Problem 7

The symbol $R_k$ stands for an integer whose base-ten representation is a sequence of $k$ ones. For example, $R_3=111,R_5=11111$, etc. When $R_{24}$ is divided by $R_4$, the quotient $Q=R_{24}/R_4$ is an integer whose base-ten representation is a sequence containing only ones and zeroes. The number of zeros in $Q$ is: $\text{(A) } 10 \text{(B) } 11 \text{(C) } 12 \text{(D) } 13 \text{(E) } 15$