1. **State the problem:** We need to find the result of dividing 6.3 by 0.35. 2. **Formula used:** Division of two numbers is given by $$\frac{a}{b}$$ where $a$ is the dividend and $b$ is the divisor. 3. **Rewrite the division:** $$\frac{6.3}{0.35}$$ 4. **Eliminate decimals:** Multiply numerator and denominator by 100 to remove decimals: $$\frac{6.3 \times 100}{0.35 \times 100} = \frac{630}{35}$$ 5. **Simplify the fraction:** Both numerator and denominator are divisible by 35: $$\frac{\cancel{630}^{18}}{\cancel{35}^{1}} = 18$$ 6. **Final answer:** $$6.3 \div 0.35 = 18$$