Redsn0w jailbreak iPhone 3GS 6.1.3?

Wanna jailbreak my sisters old iPhone 3GS for fun and gaming so Iv tired YouTube videos and the redsn0w jailbreak they uesed but i don't know why it keeps failing.
Can you help me out?
Not gonna ruin my laptop doing this so no paying or downloading other stuff or having to complete something I won't do that stuff.
Some sites say I have to downgrade my iPhone from 6.1.3 and I don't understand why when it says 6.1.3 jailbreak so anything I have to do to be sussfull in my jailbreak I would like it or a good YouTube video with all the links. And untreated please the other one is a wast of time and don't want to be pluging in the iPhone all the time cus I'm thinking about deleting iTunes off laptop cus it slows it down a bunch

Well from what I have heard from my jailbreaking "god" friend the newest jailbreak(6.1.3) will be coming out when IOS 7 Comes out (fall). All that i can say right now is sit tight and wait. And yes I want it to hurry to jailbreak my iPhone 5.

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