|Does the eventlog show any errors about this issue?|
you mean the event viwer? i didnt see anything about it there.
What kind of gateway are you using?
Can you access the configuration interface of that gateway, to figure out, whether the problem might be on the gateway?
yes, i can access it and i have double checked it, it is ok, also all the other PCs on the LAN can access the internet normally
Have you already contacted your ISP to check, whether the connection from ISP to your gateway is ok?
the connection is fine
What does a tracert google.com show?
unable to resolve target system name google.com
i also tried it by ip the result is: