1. **State the problem:** Calculate the value of the expression $1 + 1 \times 1 \div 1 - 1$. 2. **Recall the order of operations:** According to PEMDAS/BODMAS, multiplication and division are performed before addition and subtraction. 3. **Perform multiplication and division first:** $$1 + \cancel{1 \times 1} \div 1 - 1 = 1 + 1 \div 1 - 1$$ $$1 + \cancel{1 \div 1} - 1 = 1 + 1 - 1$$ 4. **Perform addition and subtraction from left to right:** $$\cancel{1 + 1} - 1 = 2 - 1$$ $$= 1$$ 5. **Final answer:** The value of the expression is $1$.