You can manually assign an address from your Router's range. The
manual will tell you the Routers LAN IP. It varies from vendor to
vendor. So if your Router is 192.168.1.1, then you would set your
NIC to an IP of 192.168.1.2, for Gateway and DNS server you
set those values to the Router's IP (192.168.1.1). The SubNet mask
value is 255.255.255.0
Most Routers have a web-interface for configuration. By default all
of them should have their DNS enabled. Is this a traditional NIC that
uses a cable or are you trying to connect via Wireless ? If the Router
hasn't be configured, you should do that with a wired Ethernet link.