I read Death Note for the first time about 10 years ago. I remember of a special chapter at the end, which I was not able to find, even in the manga (I own them all - or I think I do):
Some of that chapter takes place in the Deathgod's world. After Light's death, we see him atone for every single name he wrote in his Death Note. After a while, he tells Ryuk the exact number of people he's killed with his Death Note. Then, he asks Ryuk to bring bring to the Deathgod's King: his world has gone to waste and Light would like to make it prosper once more. The chapter end with Ryuk being impressed once more of Light's tenacity and mental strength.
Anki Sharma's answer is correct. The chapter I was looking for is indeed fanbase, I found a youtube link here.