How to get a fair trade value of my car during Total Loss process?

I recently involved in a car accident
My car was damaged badly and insurance company decide to get rid of car…so they notice me about this “total loss process”
This is my first time getting into a car accident and I don’t know much about this process..I am most interested in how much can I get from insurance company…I still have 2 yrs left before I finish payments on my car so I want to get at least $13000~ so I can cover the left over debt and extra cash to invest on new car
Below is info on my car
black honda civic DXG 2007 model (about 60000miles)
Car was in great condition (in fact, I changed my tire only a month ago and I checked my car regularly)
If you know the site or if you are expert on this area and can quote me a price it would be great!!!!
THANKS alot