1. The problem is to estimate the value of $965 \div 42$. 2. First, round the numbers to make division easier: $965 \approx 960$ and $42 \approx 40$. 3. Now divide the rounded numbers: $$\frac{960}{40} = 24.$$ 4. This gives an estimate that $965 \div 42 \approx 24$. 5. To check, calculate the exact division: $$\frac{965}{42} \approx 22.98.$$ 6. The estimate 24 is close to the exact value 22.98, so it is a reasonable approximation.