To find the quotient of \( 72 \div 4 \div (-6) \), we can follow the order of operations, performing the division from left to right.
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First, calculate \( 72 \div 4 \):
\[ 72 \div 4 = 18 \]
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Next, take that result and divide by \(-6\):
\[ 18 \div (-6) = -3 \]
Thus, the quotient of \( 72 \div 4 \div (-6) \) is \(-3\).
Final answer:
\[ \boxed{-3} \]