To find the quotient of \(-37.44\) divided by \(-0.9\), you can perform the division:
\[ \frac{-37.44}{-0.9} = \frac{37.44}{0.9} \]
Now, divide \(37.44\) by \(0.9\):
\[ 37.44 \div 0.9 = 41.6 \]
So, the quotient of \(-37.44\) divided by \(-0.9\) is \(41.6\).