I have a Belkin router N300 do I just plug in the printer Lexmark cable to the router and that is it.

To make my Lexmark e250DN work on the network using my new Belkin N300, I had to do this:
1. Install router as per Belkin instructions. 2. Power off printer, then connect Lexmark printer to the router. Power on printer. 3. In a Browser, go to 192.168.2.1 which is the Router's IP address. 4. Click on DHCP Client List. You will see a list of the "computers" connected to the router, which includes the printer. Your printer will have a very long alphanumeric Host Name (mine began with E00000) Note the IP address (something like 192.168.2.4) That is the printer's IP address. 5. In Control Panel, Printers & Faxes, a) if the printer was previously installed with a different router, edit its settings to use the new IP address; b) if the printer was not previously installed, ADD a Network Printer at address http://192.168.2.x (x being whatever your DHCP client list showed).
That should do it.