I'm not sure I entirely understand your question but I'll give this a whirl.
When you browse the Play Store on a laptop and select to install an app on your device, it's not downloading to your laptop. All it's doing is installing the app on your phone or tablet as though you were browsing the Play Store on the device and had tapped "install" there. There is really no difference except that you're using a larger screen to browse the apps.
Facebook
Twitter
Instagram