1. **State the problem:** A ferry needs to transport 5,269 people across a river. Each trip can carry 75 people. We need to find how many people will be on the last trip. 2. **Formula and explanation:** To find the number of people on the last trip, we divide the total number of people by the number of people per trip and find the remainder. 3. **Perform the division:** $$5269 \div 75$$ 4. **Calculate the quotient and remainder:** First, find how many full trips: $$75 \times 70 = 5250$$ Subtract from total: $$5269 - 5250 = 19$$ 5. **Interpretation:** The ferry will take 19 people on its last trip because after 70 full trips carrying 75 people each, 19 people remain. **Final answer:** $$\boxed{19}$$ people will be on the last trip.