let's firstly convert the mixed fraction to improper fraction and then divide.
[tex]\bf \stackrel{mixed}{1\frac{1}{8}}\implies \cfrac{1\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{9}{8}} \\\\\\ \cfrac{3}{4}\div\cfrac{9}{8}\implies \cfrac{3}{4}\cdot \cfrac{8}{9}\implies \cfrac{3}{9}\cdot \cfrac{8}{4}\implies \cfrac{1}{3}\cdot 2\implies \cfrac{2}{3}[/tex]
