So you started a process or other important task that is remote but it is in the foreground and on a pts. This means if you background with Ctrl + Z or otherwise logout or get disconnected that the process will be stopped.
Here is how you can solve the problem:
1.) Hit Ctrl + Z to suspend the process.
2.) Type bg to restore the process into the background. If you do a ps aux on the process you will see it was restored with the & at the end, which puts........