let's firstly convert the mixed fraction to improper fraction, and divide, so we can see how many times 1/6 goes into 2⅔
[tex]\bf \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{8}{3}\div \cfrac{1}{6}\implies \cfrac{8}{3}\cdot \cfrac{6}{1}\implies \cfrac{8}{1}\cdot \cfrac{6}{3}\implies 8\cdot 2\implies 16[/tex]