What is the quotient when x^3-5x^2+3x-8 is devided by x-3

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder.

It must be fulfilled that:

Dividend = Quotient * Divider + Remainder

According to the attached image we have the quotient is:

See attached image

the answer will be