To find the quotient of \(-37.44 \div -0.9\), you can first divide the absolute values of the numbers and then consider the signs.
-
Calculate the absolute values: \[ 37.44 \div 0.9 \]
-
Performing the division: \[ 37.44 \div 0.9 = 41.6 \]
-
Since both the numerator and denominator are negative, the result will be positive.
Therefore, the quotient is: \[ \boxed{41.6} \]