1. **State the problem:** Evaluate the expression $9 - 3 \div \left(\frac{1}{3}\right) + 1$. 2. **Recall the order of operations:** Division and multiplication are performed before addition and subtraction. 3. **Evaluate the division:** Dividing by a fraction is the same as multiplying by its reciprocal. $$3 \div \left(\frac{1}{3}\right) = 3 \times 3 = 9$$ 4. **Substitute back into the expression:** $$9 - 9 + 1$$ 5. **Perform subtraction and addition from left to right:** $$9 - 9 = 0$$ $$0 + 1 = 1$$ **Final answer:** $1$