1. **State the problem:** Simplify the expression $$\frac{-14.2 m^2}{2m}$$. 2. **Recall the rule for dividing powers with the same base:** When dividing terms with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$. 3. **Apply the rule to the variables:** Here, $$m^2 / m = m^{2-1} = m^1 = m$$. 4. **Divide the coefficients:** $$\frac{-14.2}{2} = -7.1$$. 5. **Combine the results:** The simplified expression is $$-7.1 m$$. 6. **Show intermediate cancellation:** $$\frac{\cancel{m} \cdot -14.2 m}{\cancel{m} \cdot 2} = \frac{-14.2 m}{2} = -7.1 m$$. **Final answer:** $$-7.1 m$$