The quotient when 10100 is divided by 575 is:

Answer: Option C

$$\begin{array}{rl}& \frac{{10}^{100}}{5^{75}}\\ & =\frac{2^{100}\times 5^{100}}{5^{75}}\\ & =2^{100}\times 5^{25}\\ & =2^{25}\times 2^{75}\times 5^{25}\\ & =2^{75}\times 10^{25}\end{array}$$