1. **State the problem:** We need to divide 81.9 by 63. 2. **Write the division expression:** $$\frac{81.9}{63}$$ 3. **Simplify the division:** Since both numbers are decimals or integers, we can perform the division directly. 4. **Perform the division:** $$81.9 \div 63 = 1.3$$ 5. **Interpretation:** The quotient of 81.9 divided by 63 is 1.3. **Final answer:** $$1.3$$