This following method is incredibly easy and is guaranteed to work just as long as you have your unique SHSH file for the firmware you wish to downgrade to. Notice it will only work on the iPhone 4, 3Gs & iPod Touch 4G. Not the iPhone 5, 4S, iPad 4, 3, 2, or mini or the iPod Touch 5G. We will first use tinyumbrella to verify that Cydia does have our 5.1.1 SHSH blobs and then use Redsn0w to easily downgrade back to iOS 5. NO iTunes necessary! Get the links below!
iPhone 3Gs 5.1.1 Firmware: 3Gs 5.1.1 DL
iPod Touch 4 5.1.1 Firmware : iPod 4G 5.1.1 DL
For All Other iOS 6 Firmware (6.1.2, 6.1, etc..) GO HERE!: iPod 4G 5.1.1 DL
Now watch the video provided above for instructions! Once you are all finished, you can Jailbreak Your iPhone on iOS 5 (5.1.1) – Click Here!: iOS Firmware Downloads
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