Network Drivers for Old HP Compaq Computer

[Ptacoma]

Hello,
I can no longer get to the internet from my old Compaq computer. It was suggested that I download network drivers from the HP site. The modem has been tested and it is working fine. I have a Toshiba that I can use to download the drivers onto a usb drive. How do I make sure these drivers will not mess up my Toshiba?

 

[unreal9400]

Which model or serial number?
Downloading driver does not affect your Toshiba.