To determine where the first digit of the quotient should be placed when dividing 2,370 by 24, we should first consider how many times 24 can fit into the leading part of 2,370.
First, let's look at the first two digits of the dividend, which are 23. Since 24 is larger than 23, we look at the first three digits, which are 237. Now we consider how many times 24 can fit into 237.
Calculating:
- 24 × 9 = 216
- 24 × 10 = 240
Since 240 is larger than 237, we can conclude that 24 fits into 237 a total of 9 times, but not 10 times. Therefore, the first digit of the quotient will be 9.
Thus, the first digit of the quotient for 2,370 ÷ 24 should be placed in the hundreds place of the quotient.