1. **State the problem:** We need to divide 468.10 by 13. 2. **Write the division expression:** $$\frac{468.10}{13}$$ 3. **Perform the division:** Divide 468.10 by 13 step-by-step. 4. **Simplify the division:** Since 468.10 is the same as 468.10, we can write: $$\frac{468.10}{13} = \frac{468.10}{13}$$ 5. **Calculate the quotient:** $$468.10 \div 13 = 36.0076923...$$ 6. **Round the answer:** Rounding to two decimal places, the result is: $$36.01$$ **Final answer:** $$\boxed{36.01}$$