1. The problem is to simplify the expression $\frac{57}{8} \div 3$. 2. Recall that dividing by a number is the same as multiplying by its reciprocal. So, $\frac{57}{8} \div 3 = \frac{57}{8} \times \frac{1}{3}$. 3. Multiply the numerators and denominators: $$\frac{57 \times 1}{8 \times 3} = \frac{57}{24}$$ 4. Simplify the fraction $\frac{57}{24}$ by finding the greatest common divisor (GCD) of 57 and 24, which is 3. 5. Divide numerator and denominator by 3: $$\frac{\cancel{57}^{{19}}}{\cancel{24}^{{8}}} = \frac{19}{8}$$ 6. The simplified result is $\frac{19}{8}$. Therefore, $\frac{57}{8} \div 3 = \frac{19}{8}$.