To determine where the first digit of the quotient for \(2,370 \div 24\) should be placed, we can start by estimating the division without doing the actual calculation.
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We can round \(24\) to a more manageable number. In this case, rounding \(24\) to \(20\) may help us get an approximation.
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Next, we divide \(2,370\) by \(20\): \[ 2,370 \div 20 = 118.5 \]
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This tells us that the quotient is somewhat close to \(118\).
Now we know that \(118\) in the quotient fits in the hundreds place.
Thus, the first digit of the quotient \(2,370 \div 24\) should be placed in the C hundreds.