"The name server entries are a bit complicated. Name Server is just another name for DNS(domain name server) server. Some router's act as a proxy between the actual name servers and your computer. You will know when this is the case, because the Default Gateway will list the same ip address as the Name Servers entry. We need to have the correct Name Server IP addresses. If we do not, you will not be able to browse the web. There are a couple ways to get these. The first way is to log into your router's web interface, and look at your router's status page."
How do I find the web interface?
Open a command prompt (Start menu>"cmd" in the search bar)
Type "ipconfig/all" (without quotes)
You'll see a bunch of info. Just scroll up a bit and you should see:
DNS Servers......................
....................##.##.##.###
##.##.##.###
Those two IP adresses are your DNS servers that you need.