A number divided by 52 gives remainder 45. If the number divided by 13 , the remainder will be :

Solution (By Examveda Team)

Since 13 is factor of 52. So divide its remainder directly by 13.
$$\eqalign{ & \Rightarrow \frac{{{\text{remainder}}}}{{13}} = \frac{{45}}{{13}} \cr & \Rightarrow {\text{remainder }} = 6 \cr} $$