1. **State the problem:** We need to find the value of $5 + 10 \div 2$. 2. **Recall the order of operations:** Division comes before addition. 3. **Perform the division first:** $$10 \div 2 = 5$$ 4. **Add the result to 5:** $$5 + 5 = 10$$ 5. **Final answer:** The value of $5 + 10 \div 2$ is $10$.