Here is how you divide the polynomial given above.
Firstly, divide 24x5 by 8x2 and you get 3x3.
Next, divide 8x4 by 8x2 and you get x2.
Lastly, you divide -16x3 by 8x2 and you get -2x.
So the quotient would be this: 3x^3+x^2-2x. Hope this is the answer that you are looking for. Have a great day!