My friend has a nice Ibenez guitar...it's his first guitar with a locking tremelo. Both of us have noooo idea of how the get all of the strings in tune and stuff...and neither did the guys at our local music store (it's filled with a bunch of clueless assholes anyway). And when we tune the first 3 strings the other 3 get our of tune...and I think my friend would appreciate it if I could help him fix it.
do 2 strings at a time, and then lock them and use the fine tunning nuts
Tuning Floyd Rose

1) Loosen the locking nut
2) Set your fine tuners to middle position
3) Tune up your guitar to standard or whichever tunings u wish. "Cross-tuning" between strings if you want easier. Tune the low E string> A string> low E string again> D string> low E string>A string... and so forth. Keep repeating for all strings. To make it more easier, tune the low E generally a bit sharper or about half step sharper, so that you might not have to repeat crossing the strings again and again.
4) If the floating bridge comes out, loosen the tunings and then tighten the springs in the tremolo cavity at the back, if the bridge sinks, then vice-versa, until the bridge is parallel to the body.
5) Be patient
6) If you're happy with your tunings and your bridge is well centered, lock in the nut
7) Tune again using the fine tuners

Also some tips - You might want to have at least 3 springs and after following the tuning method above, tighten the 2 claw's screw for about 1/8th or 1/4th more. This is to prevent your floating bridge from getting stuck to the knife edges on the posts (action studs) after you bend notes. You can ignore this if your bridge/trem is reliable (e.g. Edge Pro, Edge, ZR, Lo-Pro Edge, Original Floyd Rose, Licensed Floyd Rose by Kahler/Schaller/Gotoh). But still you may face this problem even if your bridge is very good.

Stretch the strings first if they're new

More info on tuning floyd roses - http://www.floydrose.com/originaltremolo.html
Info on changing strings - http://www.ultimate-guitar.com/columns/features/steal_this_video_re-stringing_guitar.html
Picture guide on how to perform the #4 step mentioned above - http://www.fretnotguitarrepair.com/floydrosetremolo.htm

------------------------------------------ madpickin03®------------------------------------------
"Play with your ears" - Yngwie Malmsteen, Paul Gilbert
Thats what she said...
What you supposed to do is do 2 strings at a time and tune them each higher than theyre supposed to so when you tune all the others, they will loosen up and be in tune. I didn't really learn it all to well, but look on GOOGLE and type in floyd rose or something and you'll get good info. it's a pain in the ass really, what my brother did was block the tremelo at out local guitar store. It cost like $25 for the guy to block the tremelo and for labor so it's not expensive. Once you do that, his guitar will be be just like any other guitar basically. I hope this helps
Madpickin has it right. Thats how I tune my dkmg. If you take enough time it should stay in tune for months with only small amounts of fine tuning needed. I tend to tune E, e, A, B, D, G then e, E, B, A, G, D then G, D, B, A, e, E then D, G, A... you get the idea. Tune it ober and over that way and you will eventually get all your strings in tune.

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