STEP 1) Map a port from the router to the computer. In this case, you could pick a port on the router (say, 5200) and map it to 192.168.0.10:2000.
Mapping ports from routers to computers is router-specific. Usually your router will have a web-based interface that allows you to configure and maintain it. Sometimes router companies refer to this action as 'Port Forwarding', Port Mapping', 'Opening a Pinhole', and 'Port Range Forwarding.'
STEP 2) Having done the above, you will now be able to fully access the RemotelyAnywhere computer with the URL
http://111.111.111.111:5200 or
https://111.111.111.111:5200 - that is, the router's external IP and the port you mapped to the RemotelyAnywhere machine.