First, lets find the numbers 8 2/3 and 1 3/5, as follows:
[tex]8\frac{2}{3}=8+\frac{2}{3}=\frac{8\times3}{3}+\frac{2}{3}=\frac{24+2}{3}=\frac{26}{3}[/tex]And:
[tex]1\frac{3}{5}=1+\frac{3}{5}=\frac{1\times5}{5}+\frac{3}{5}=\frac{5+3}{5}=\frac{8}{5}[/tex]Now we can find our division, as follows:
[tex]\frac{8\frac{2}{3}}{1\frac{3}{5}}=\frac{\frac{26}{3}}{\frac{8}{5}}\rightarrow\frac{\frac{26}{3}}{\frac{8}{5}}=\frac{26}{3}\times\frac{5}{8}=\frac{26\times5}{3\times8}=\frac{130}{24}[/tex]