The current draft of Asterion is just getting the story down in order so that it makes sense. After that will come lots of rewrites and edits. Adding to and improving lines of descriptive text, refining the dialogue, making sure it’s in character, making sure characters thoughts and feelings are properly conveyed when necessary, and other suggestion made by beta readers.
When I start the draft after this, I’ll likely move the story in chunks over to Scrivener. Until now I’ve only ever been using MS Word, but I got Scrivener recently and have already started using it for the rewrite of The Little Queen.