first off, let's convert the mixed fraction to "improper", and then check "how many times does 1/3 go into 7 and 5/6?"
[tex]\bf \stackrel{mixed}{7\frac{5}{6}}\implies \cfrac{7\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{47}{6}}\\\\
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\cfrac{\quad \frac{47}{6}\quad }{\frac{1}{3}}\implies \cfrac{47}{6}\cdot \cfrac{3}{1}\implies \cfrac{47}{2}\implies 23\frac{1}{2}[/tex]
