To determine where the first digit of the quotient for 2,370 divided by 24 should be placed, we can estimate how many times 24 can fit into the leading portion of 2,370.
First, we can look at the numbers involved:
- 24 is less than 100.
- 2,370 is a three-digit number.
Now, we can estimate how many times 24 fits into approximately 237 (the first three digits of 2,370). Since 24 multiplied by 10 equals 240, which is slightly greater than 237, we should check for 9:
- 24 multiplied by 9 is 216.
Since 216 is less than 237 and 24 multiplied by 10 is too high, we will conclude that the first digit of the quotient will be 9 (for 237), which represents the 10's place since it is the first digit we found when dividing the leading part of 2,370.
Thus, the first digit of the quotient for 2,370 divided by 24 should be in the tens place.