first transform the mixed number
[tex]4\frac{2}{5}\longrightarrow\frac{(4\times2)+2}{5}=\frac{22}{5}[/tex]now do the division
we can represent the 6 as 6/1 to use the following method
where the red multiplication is the numerator and green the denominator
so
[tex]\begin{gathered} \frac{22\times1}{6\times5} \\ \\ \frac{22}{30}=\frac{11}{15} \end{gathered}[/tex]then the answer is 11/15