Note @ 3/3/17: SMB printing might not work. Perhaps try the https links on the Mac page.
Find the printers utility
The printer utility
Click "Add". The following dialog should appear
Select a manufacturer. Again, the list of printers should give you an idea. Click forward.
Choose a model and a driver for that model. Click forward.
Choose a clear name for the printer so your computer can tell you which one you're using. You should be given the option to print a test page. This is a good idea. You may be asked to authenticate, if so skip to the authentication bit below.
If you aren't asked to authenticate, check the print queue by right clicking the printer in the utility and choosing "View Print Queue"
The queue should look something like this. Note that the status is "Held for ..." the ... is "authentication". Authenticate the job by right-clicking it and choosing authenticate.
Authentication bit. Enter your departmental username & password in the format shown. It usually makes sense to store the password.