I need to connect to both the internet and my office network . The computer I am trying to set up is my server. One nic is connected to the ineernet via a router connected to a dsl modem. The other is connected to the office network. The problem is I have to disable one nic to use the other. I want both enabled and working at the same time

More info about your server, os, and network addressing schemes is needed. Shouldn't be any reason both nics can't be enabled.

Configure your internet NIC as the default route 0.0.0.0 0.0.0.0 67.55.22.66
Assuming your using windows server configure this on routing and remote access