To divide the signed numbers \( 56 \div (-4) \div (-2) \), we will follow the order in which the divisions are performed, from left to right.
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First, we divide \( 56 \) by \( -4 \): \[ 56 \div (-4) = -14 \]
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Next, we take the result \( -14 \) and divide it by \( -2 \): \[ -14 \div (-2) = 7 \]
Since the division of two negative numbers gives a positive result, we get \( 7 \).
Therefore, the final quotient is \( \boxed{7} \).