1. **State the problem:** We need to simplify the expression $\frac{m-7}{3}$. 2. **Formula and rules:** Division of an expression by a number means dividing each term in the numerator by that number. So, $\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}$. 3. **Apply the rule:** Here, $\frac{m-7}{3} = \frac{m}{3} - \frac{7}{3}$. 4. **Explanation:** We split the numerator into two parts and divide each by 3 separately. This is the simplified form unless you want to write it as a decimal or mixed number. **Final answer:** $$\frac{m-7}{3} = \frac{m}{3} - \frac{7}{3}$$