How to solve polynomials with synthetic division

(3y4 - 4y3 + 5y2 - 11y + 2) divided by 2 + 3y using synthetic division

How would I do this? Can someone include steps on how to solve this? Thanks

2+3y=0 ; y = -2/3

-2/3 | 3 -4 5 -11 2
|________-2_____4______-6_____34/3______…
| 3 -6 9 -17 40/3

quotient = 3y3-6y2+9y-17
remainder = 40/3