$\frac{7}{a^2}:\frac{28}{a^8}=\frac{7}{a^2}\ast <!--\; \ast \; -->\frac{a^8}{28}=\frac{1}{1}\ast <!--\; \ast \; -->\frac{a^6}{4}=\frac{a^6}{4}$

$\frac{b^9}{8}:\frac{b^3}{48}=\frac{b^9}{8}\ast <!--\; \ast \; -->\frac{48}{b^3}=\frac{b^6}{1}\ast <!--\; \ast \; -->\frac{6}{1}=6b^6$

$\frac{27}{m^6}:\frac{36}{m^7{n}^2}=\frac{27}{m^6}\ast <!--\; \ast \; -->\frac{m^7{n}^2}{36}=\frac{3}{1}\ast <!--\; \ast \; -->\frac{m{n}^2}{4}=\frac{3m{n}^2}{4}$

$\frac{6x^{10}}{y^8}:(30x^5{y}^2)=\frac{6x^{10}}{y^8}\ast <!--\; \ast \; -->\frac{1}{30x^5{y}^2}=\frac{x^5}{y^8}\ast <!--\; \ast \; -->\frac{1}{5y^2}=\frac{x^5}{5y^{10}}$

$49m^4:\frac{21m}{n^2}=49m^4\ast <!--\; \ast \; -->\frac{n^2}{21m}=7m^3\ast <!--\; \ast \; -->\frac{n^2}{3}=\frac{7m^3{n}^2}{3}$

$\frac{16x^3{y}^8}{33z^5}:(-<!--\; -\; -->\frac{10x^2}{55z^6})=\frac{16x^3{y}^8}{33z^5}\ast <!--\; \ast \; -->(-<!--\; -\; -->\frac{55z^6}{10x^2})=\frac{8x{y}^8}{3}\ast <!--\; \ast \; -->(-<!--\; -\; -->\frac{5z}{5})=\frac{8x{y}^8}{3}\ast <!--\; \ast \; -->(-<!--\; -\; -->\frac{z}{1})=-<!--\; -\; -->\frac{8x{y}^{8}z}{3}$