Exercise $2($Ex$.4,$ Chapter $2$ of $[$Martin; $2011]).$

Example $2\mathrm{.}7$ describes an FA accepting $L_3,$ the set of strings in $\{0,1{\}}^{**}$ that are binary representations of integers divisible by $3.$

Draw a transition diagram for an FA accepting $L5,$ the set of strings in $\{0,1{\}}^{**}$ that are binary representations of integers divisible by $5.$