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 $814 \div 37$.
2. **Initial estimate:** Warren estimated $814 \div 37$ by approximating $800 \div 40 = 20$.
3. **Adjusting the estimate:** Since $37$ is slightly less than $40$, dividing by $37$ will give a quotient slightly larger than dividing by $40$.
4. **Calculate the exact quotient:**
$$814 \div 37 = \frac{814}{37}$$
5. **Perform the division:**
Divide $814$ by $37$:
$37 \times 22 = 814$
So,
$$814 \div 37 = 22$$
6. **Conclusion:** The exact quotient is $22$, which is slightly larger than the initial estimate of $20$.
**Final answer:** $22$