PUB QUIZ QUESTION OF THE WEEK

This, even by the standards of bizarre pub quiz questions, is a little bit on the random front. The feeling of achievement when the result was finally discerned was tangible.

Q: Two prime numbers under 100 when one is divided into the other give a result of 0.566265. What are the two numbers?

(I tried to draw a graph to start off but the beer stained question sheet did not help.)