Ensure your iPhone is on iOS 6.0 to iOS 6.1.2 then perform a backup of your iPhone using these instructions. Firmware download links can be found here if you require them for re-restore.
Create a folder called Pwnage on your desktop and download the latest version of Evasi0n utility into the folder. You can find download links for Evasi0n here.
Extract the Evasi0n zip file to the Pwnage folder on your desktop.
Double click the newly created evasi0n-win folder to open it.
Right click the Evasi0n exe icon then select Run as Administrator from the contextual menu to launch the application.
Ensure your iPhone is connected to the computer via a USB cable if you haven't already.
Remove any lock screen passcodes on your device then click the Jailbreak button to begin.
The app will retrieve information from the device to generate jailbreak data, inject stage 1 jailbreak data, reboot the device, wait for the device to be ready, inject stage 2 jailbreak data, upload Cydia, and upload the Cydia packages list.
You will then be asked to unlock your device and tap the new 'Jailbreak' app icon. It is imperative that you only tap the icon once. The app will open and immediately close.
Evasi0n will then inject the remount payload, remount the root filesystem, prepare the final jailbreak data, inject the final jailbreak data, and complete!
Your iPhone will now reboot with Cydia on the SpringBoard!
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Of course, much thanks is due to the Evad3rs for their hard work in making this jailbreak possible.
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