let's firstly convert the mixed fractions to improper, and then divide.
the answer to 3 3/7÷6/7 is 4
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![\bf \stackrel{mixed}{3(3)/(7)}\implies \cfrac{3\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{24}{7}}\\\\[-0.35em]~\dotfill\\\\\cfrac{24}{7}/ \cfrac{6}{7}\implies \cfrac{24}{7}\cdot \cfrac{7}{6}\implies \cfrac{24}{6}\cdot \cfrac{7}{7}\implies 4\cdot 1\implies 4](https://img.qammunity.org/2019/formulas/mathematics/middle-school/k7ir95quac6fgfzwczbg4zba4tc7re8i2p.png)