1. **State the problem:** Simplify the expression $2 - 4 \div 4$. 2. **Recall the order of operations:** Division and multiplication are performed before addition and subtraction. 3. **Perform the division first:** $$4 \div 4 = 1$$ 4. **Substitute back into the expression:** $$2 - 1$$ 5. **Perform the subtraction:** $$2 - 1 = 1$$ **Final answer:** $1$