1. **State the problem:** Solve the equation $$\frac{69}{m} = 3$$ for the variable $m$. 2. **Formula and rules:** To solve for $m$ when it is in the denominator, multiply both sides of the equation by $m$ to eliminate the fraction. 3. **Multiply both sides by $m$:** $$\frac{69}{m} \times m = 3 \times m$$ This simplifies to: $$69 = 3m$$ 4. **Isolate $m$:** Divide both sides by 3 to solve for $m$: $$m = \frac{69}{3}$$ 5. **Simplify the fraction:** $$m = 23$$ **Final answer:** $$m = 23$$