Go to the following link:
If using Internet Explorer, you should be prompted at the bottom of the window to Run the installer. Click Run.
If using Google Chrome, you'll see the completed download at the bottom of the window. Click it and choose Open.
If you get a popup about Proxy Settings, click Cancel.
You should now be presented with a TeamViewer window. It may take a few seconds to connect to the network and present you with an ID and Password. Once you have those, give them to IT so they can remote into your computer.