1. **State the problem:** Simplify the expression $\frac{30}{6} \div 2 - 2$. 2. **Recall the order of operations:** Division and multiplication are performed from left to right before subtraction. 3. **Simplify step-by-step:** First, calculate $\frac{30}{6}$: $$\frac{30}{6} = 5$$ Now the expression is: $$5 \div 2 - 2$$ 4. Perform the division: $$5 \div 2 = \frac{5}{2}$$ 5. Substitute back: $$\frac{5}{2} - 2$$ 6. Convert 2 to a fraction with denominator 2: $$2 = \frac{4}{2}$$ 7. Subtract the fractions: $$\frac{5}{2} - \frac{4}{2} = \frac{5 - 4}{2} = \frac{1}{2}$$ **Final answer:** $$\frac{1}{2}$$