1. **State the problem:** Divide the numbers 3.5 and 3.85. 2. **Formula used:** Division of two numbers is given by $$\frac{a}{b}$$ where $a$ is the dividend and $b$ is the divisor. 3. **Apply the formula:** Here, $a = 3.5$ and $b = 3.85$. 4. **Perform the division:** $$\frac{3.5}{3.85}$$ 5. **Simplify the fraction:** Multiply numerator and denominator by 100 to remove decimals: $$\frac{3.5 \times 100}{3.85 \times 100} = \frac{350}{385}$$ 6. **Cancel common factors:** Both 350 and 385 are divisible by 35: $$\frac{\cancel{350}^{10}}{\cancel{385}^{11}} = \frac{10}{11}$$ 7. **Final answer:** The division of 3.5 by 3.85 simplifies to $$\frac{10}{11}$$ or approximately 0.909.