To determine where the first digit of the quotient should be placed for \(2,370 ÷ 24\), we can compare the values of the numbers involved.
We can estimate how many times \(24\) fits into \(2,370\) by considering the first part of the dividend, \(2,370\), and the divisor, \(24\).
To find the first digit of the quotient without performing long division, you can consider how many times \(24\) can approximately fit into the first two or three digits of \(2,370\):
- The first two digits of \(2,370\) are \(23\), but \(24\) is greater than \(23\), so we cannot use just the first two digits.
- Next, we can include the first three digits of \(2,370\) which gives us \(237\).
Now, we compare \(237\) to \(24\):
- To estimate, see how many times \(24\) goes into \(237\). Since \(24\) is approximately \(25\), we can calculate \(25 \times 9 = 225\) (close to \(237\)), thus \(24\) fits into \(237\) at least \(9\) times. The first digit is \(9\).
Therefore, the first digit of the quotient is \(9\), and it should be placed in the hundreds place.
Answer: Hundreds place.