The question asks to calculate the division of -24 by 6/7.
As the second number is a fraction, It's easier if we switch the operation to a product and use the inverse of the number:
[tex]-24\text{ /}\frac{6}{7}=-24\cdot\frac{7}{6}[/tex]Then, solving this product, we have that:
[tex]-24\cdot\frac{7}{6}=\frac{-24\cdot7}{6}=-4\cdot7=-28[/tex]So the result of this operation is -28