Originally Posted by
JClishe
Because your router isn't a DNS server

The router will forward all DNS requests to the ISPs DNS server automatically. So you can set it up using the routers IP address as the DNS address on the client.
So, basically, if your routers IP address is 192.168.0.1, you use that address as the gateway IP address and as the DNS Server, and then you pick an address that the router won't assign as a DHCP adress, for example 192.168.0.250 (that one depends on your router and any other statically assigned IP addresses you might have on your home network) for that machine's IP address.
Except for the static IP address you pick for that laptop, you can just copy the settings from one of the other computers on your home network.
This isn't the only way to set it up, but I think it's what the OP wants to do, and it should be fine.
-David