1- grab the latest software from here and install it
http://www.microsoft.com/hardware/en-us/d/xbox-360-wireless-controller-for-windows
I used the Windows 7 x64
2- Plug Wireless receiver into USB2 port I'm not 100% sure but I don't think they work with USB3
3- go to control panel > device manager and right click on unknown device then update driver software
4- Click "Browse for driver software on your computer"
5- Click "Let me pick from a list of device drivers on my computer"
6- Then in the left column click Microsoft and it should show a list in the right column scroll all the way down to the bottom and you should see,
Xbox 360 Wireless Receiver For Windows 6.2.9200.16384 [25/7/2012]
7- Highlight that driver and ok/next and it will give you a message saying that it is not recommended or words to that extent, click ok let it install
8- Check in device manager and it should be installed and you should be able to pair your controller with the receiver as you would on Windows 7
9- Now go to the start menu and click the Microsoft Xbox 360 Accessories Status app and check the controller is paired by pressing the guide button.