1. The problem is to divide 7 by 42.7. 2. The division formula is $\frac{a}{b}$ where $a$ is the numerator and $b$ is the denominator. 3. Substitute the values: $\frac{7}{42.7}$. 4. To simplify, divide numerator and denominator by 7: $$\frac{\cancel{7}}{\cancel{42.7}} = \frac{1}{6.1}$$. 5. Now calculate the decimal value: $\frac{1}{6.1} \approx 0.1639$. 6. Therefore, $7 \div 42.7 \approx 0.1639$.