Geez, it's not a regular laptop. It runs on an ARM chip, not Intel. If Quicken makes a Chrome browser extension, you are in luck, but you can't just install stuff like on Windows or OSX. It is essentially a browser. I am buying one, so that is not a putdown. I use my Android tablets more than my computers at home, so I can't wait to give it a go. I bought the 3G model when I read about it, cancelling my wi-fi order.
The only Web-based solution currently offered by Quicken is Mint. You can learn more about Mint at the Quicken Web site.
They have also just released a Quicken Mobile App usable on iPhones and Android devices. It links to the 2013 version of Quicken for Windows. I don't know whether this would count as an Android device, but even if it does, you'd still have to also be running Quicken on a separate Windows PC.