Welcome to the Roku Community, @RedSeven!
Thanks for reaching out. We'd be happy to be of assistance here and provide you with additional information.
If you want to stream Roku through the website, you need to visit The Roku Channel's website. You can manage your "Continue Watching" list there. See the photo below for reference:
Feel free to respond if you need further clarification and assistance.
Warm regards,
Carly
Carly Y.
Roku Community Moderator