1. **State the problem:** We need to find how many 64ths are in $\frac{3}{16}$. This means we want to express $\frac{3}{16}$ as a number of parts each of size $\frac{1}{64}$. 2. **Formula and concept:** To find how many $\frac{1}{64}$ parts fit into $\frac{3}{16}$, we divide $\frac{3}{16}$ by $\frac{1}{64}$. 3. **Set up the division:** $$\frac{3}{16} \div \frac{1}{64}$$ 4. **Division of fractions rule:** Dividing by a fraction is the same as multiplying by its reciprocal: $$\frac{3}{16} \times \frac{64}{1}$$ 5. **Multiply numerators and denominators:** $$\frac{3 \times 64}{16 \times 1} = \frac{192}{16}$$ 6. **Simplify the fraction:** $$\frac{\cancel{192}^{12} \times 16}{\cancel{16}^1} = 12$$ 7. **Interpretation:** There are 12 parts of size $\frac{1}{64}$ in $\frac{3}{16}$. **Final answer:** $$12$$