How do I fix the internet connection on my laptop?

I have a laptop that I got 6 months ago and for pretty much all of those 6 months, the internet has been terrible. I use the laptop in two places during the week. In one place, the laptop pretty much has a smooth connection other than randomly getting disconnected from the wifi. In the other place I use it, the connection is terrible. The crazy thing is that, while it is acting like I'm not connected to the internet, my wifi signal shows like it's perfectly fine.

I tried using different browsers, resetting my laptop, doing every fix in the Command Prompt and Run program I could possibly find, turning off/on things like minimum power consumption and etcetera but none of it seems to work or, if it does, it provides a temporary fix.

It can't be the router because the other computers in the house work perfectly fine and I don't know if it's windows 8 because one of the other computers has windows 8 and it works perfectly so it's gotta be my computer. Does anyone know if it's just my laptop that needs fixing or if there's anything I can do to improve the connection for my laptop? I honestly don't know what to do at this point. I will be extremely grateful if someone can find an answer.

I don't know if this will help, but I have a Dell Inspiron 4520.