Answer
See figure and explanations.
Work Step by Step
Step 1. Set up the division as shown in the figure.
Step 2. Find the first term of the quotient $2x^2$ and multiply it with the divisor $x-3$ to get $2x^3-6x^2$
Step 3. Subtract the result from the dividend to get $3x^2$
Step 4. Bring down one more term from the dividend $-11x$ and repeat the process.
Step 5. Finish the division to get a quotient of $2x^2+3x-2$ and a remainder of $2$.
