I want to type "go/something" in my browser address bar, and have my browser request "http://go.mydomain.com/something". The use case is where go.mydomain.com is our internal URL shortening service, so this would in turn redirect to http://some.long.url/with/some/long/text?and=parameters
Clearly, this needs to be a little more than just DNS tomfoolery, because the request that the browser makes to the server needs to include the host header with the FQDN so the webserver knows what to return. It also needs to be configured on the network (perhaps in the DHCP settings on the router?) so all users on our network benefit from this behaviour without needing to edit their OS settings, and it needs to be OS-independent, so it works on mobiles, Macs, Windows, etc...
Obviously, unqualified domain names won't work outside our LAN, but this is OK.