$$12 \frac{ 1 }{ 3 } \div \frac{ 3 }{ 5 }$$
$\frac{185}{9}\approx 20.555555556$
$$\frac{\left(12\times 3+1\right)\times 5}{3\times 3}$$
$$\frac{\left(36+1\right)\times 5}{3\times 3}$$
$$\frac{37\times 5}{3\times 3}$$
$$\frac{185}{3\times 3}$$
$$\frac{185}{9}$$
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$\frac{5 \cdot 37}{3 ^ {2}} = 20\frac{5}{9} = 20.555555555555557$