Usually, the :3000 is when you are hosting the site on your development machine, and you can serve with Thin or Webrick from localhost:3000 after starting the server on your console. But if you do that on your server, the only "person" who will be able to network to it will be another user on the server itself.
If you're just doing a tutorial, why get a server involved at all? Just host it on your Mac, start the server from the terminal as you have done, and open up a browser to localhost:3000.
If you want to share your work with others, then use Passenger on your Digital Ocean machine, or use Heroku or another one-button hosting provider for that.
Walter
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