Question: Warren is trying to find $814 \div 37$. Since $800 \div 40 = 20$, he estimates the quotient is around $20$. Adjust Warren's estimate as needed and find the quotient $814 \div 37$.
1. **State the problem:** We need to find the exact value of the division $814 \div 37$.
2. **Initial estimate:** Warren estimated the quotient as $20$ because $800 \div 40 = 20$. This is a rough estimate since $37$ is close to $40$ and $814$ is close to $800$.
3. **Use the exact division formula:**
$$\text{Quotient} = \frac{814}{37}$$
4. **Perform the division:**
Divide $814$ by $37$ using long division or a calculator.
5. **Calculate:**
$37 \times 22 = 814$
So,
$$\frac{814}{37} = 22$$
6. **Adjust estimate:**
Warren's estimate was $20$, but the exact quotient is $22$, which is slightly higher.
**Final answer:**
$$814 \div 37 = 22$$