The table represents the start of the division of -2x^3+11x^2-23x+20 by x^2-3x+4

Not sure what the question is, but the quotient is -2x+5.

We first look for the number of times x² goes into -2x³.  It goes in -2x times.  This goes over -23x in the box.  Multiply back by the divisor, and the product we write under the dividend in the box is

-2x³+6x²-8x

We now have this subtraction:
 -2x³+11x²-23x
-(2x³+ 6x²-  8x)

Which gives us
5x²-15x

Bring down the 20 from the dividend and we have
5x²-15x+20

Now we see how many times x² will go into 5x².  It goes 5 times, so we write +5 beside our -2x in the quotient.  Multiply 5 by the divisor, and we have the following to write under the next line in our process:
5x²-15x+20

When we subtract this from the previous line, we have 0 remainder.