You would think that they would have a sticky with instruction on how to find your key and how to register it on the forums (It may exist in other forums but I never go to any other forum besides the CK related ones). It seems like they do want people who use their forums to register the games they purchase so it would make sense that they should want to make it as easy as possible.
Although for some people it may be intuitively obvious (I for one had absolutely no problem), I accept and respect the fact that the users of these forums come from all different backgrounds and some may have difficulties in working out how to do this task.
In fact I just whipped up a quick tute for my esteemed forum colleagues.
Firstly you need to find your serial (It can't be called a cd-key because well, a CD doesn't exist for DV). To do this run Gamersgate, the same program you used to download the game.
Once you are logged onto Gamersgate find it by being on the product's page. The serial will be on the left as shown and circled in the screenshot below.
The serial will be 24 characters. I have blanked out everything after the first 4 characters as I am not ready to share my serial with the world yet.
Once you have found and written down this serial, You need to access your User Control Panel. When you are logged into the Paradox forums, you should see the option at the top of your screen, just under the banner, as shown in the screen shot below. Left click on this to go to your User CP options.
From here you want to choose My Games/Registrations as shown in the screenshot below. Left click to go to this page.
Here you register all your newish Paradox games, not just DV. There is no registration for CK and a few older games as they were made before this system was implemented and it would be a logistics nightmare to retrospectively try and give out serials for these games. So don't try and find your serial for the original CK as it does not exist.
Type in your serial in the area circled in the screenshot below. The screenshot does not have the spaces to put your serial as obviously as it states I have already registered the game. For you it should look exactly the same as all the other games you have not registered.
Once the serial is typed in, left click on register. It should now say successful registration and when you post you should get a funky looking cross either next to or below your name (depending whether you have an avatar or not).