If you are able to solve that with keeping your colleague to watch how you are sorting out the issues you can use screen.

First of all ask your colleague for the username which he used to login into that remote machine. Now you can login to that remote machine as the same user. Imagine username is engineer and IP of the remote machine is 192.168.1.1. Try the below

# ssh engineer@192.168.1.1

Then after getting logged in run the screen command to set a session named myscreen

$ screen -S myscreen

Now tell your colleague to type the below for attaching his screen to your screen.

$ screen -x myscreen

Thats it. Now he can watch whatever you type and vice versa.