Answer
See figure and explanations.
Work Step by Step
Step 1. Arrange the dividend in descending order and set up the division using coefficients and the divisor $3$ (from $x-3$) as shown in the figure.
Step 2. Bring down the first term of the coefficient $2$.
Step 3. Multiply the divisor and the first coefficient to get $6$.
Step 4. Add the result to the second coefficient $-3$ to get $3$.
Step 5. Repeat the process to the end; the last line contains the coefficient of the quotient and the last number is the remainder.
