1. The problem is to solve $4 \times \frac{3}{4}$ using division. 2. Recall that multiplication by a fraction can be interpreted as division: multiplying by $\frac{3}{4}$ is the same as multiplying by 3 and then dividing by 4. 3. So, we write the expression as $4 \times \frac{3}{4} = \frac{4 \times 3}{4}$. 4. Simplify the fraction by canceling the common factor 4 in numerator and denominator: $$\frac{\cancel{4} \times 3}{\cancel{4}} = 3$$ 5. Therefore, $4 \times \frac{3}{4} = 3$. 6. In plain language: multiplying 4 by three quarters means taking three parts out of four equal parts of 4, which equals 3.