To find which quotient is between -4 and -5, we need to calculate each option and determine its value.
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\(-512 \div (-112)\): \[ -512 \div -112 = 4.5714 \text{ (This quotient is positive, not between -4 and -5)} \]
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\(-913 \div 2\): \[ -913 \div 2 = -456.5 \text{ (This quotient is far less than -5)} \]
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\(256 \div (-12)\): \[ 256 \div -12 = -21.3333 \text{ (This quotient is also far less than -5)} \]
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\(123 \div (-12)\): \[ 123 \div -12 = -10.25 \text{ (Again, this is less than -5)} \]
None of the given options yield a quotient that falls between -4 and -5 based on the calculations. It seems there may be an error in the problem or in the choices available if we adhere strictly to the conditions of the question.
If you would like to specify further or check calculations again, please let me know!