1. The problem is to divide 2 by 64. 2. The formula for division is $\frac{a}{b}$ where $a$ is the numerator and $b$ is the denominator. 3. Applying the formula: $\frac{2}{64}$. 4. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 2. 5. Write the intermediate step with cancellation: $$\frac{\cancel{2}}{\cancel{64}} = \frac{1}{32}$$. 6. The simplified result is $\frac{1}{32}$. 7. In decimal form, $\frac{1}{32} = 0.03125$. 8. So, 2 divided by 64 equals $\frac{1}{32}$ or 0.03125.