Step 1: Tools
Cleaner( I use Pedros Oranj Peelz)
Step 2: Clean
Step 3: Pulley Crud
Step 4: Clean the Chain
I put cleaner on a rag, then turn the cranks backwards while holding the rag over the chain right at the bottom of the derailleur cage.
Step 5: Lube the Pivots
Wipe off any excess.
Step 6: Lube the Chain
I drip lube on the chain above the cassette.
Then use your rag to remove any excess lube from the chain, you don't want the lube to be on so thick that it gets dirt and grime caked on.
Step 7: Grease the Bottom Cable
What you can do is shift all the way up to the biggest ring in the back.
Once the chain is in the biggest ring, do not pedal, but shift to the smallest ring.
Step 8: Clean the Cable
Step 9: Slide the Housing Up
Step 10: Lube the Cable
Step 11: Lower Limit
Shift to the small ring in the back, look at the upper pulley, the teeth from the pulley should be perfectly aligned with the teeth of the smallest cog.
If it is sitting too far in towards the frame then we will adjust the outer limit.
Step 12: Outer Limit
Step 13: Inner Limit
We want to grab the derailleur by hand and see if we can push the chain over the cassette and in to the spokes. If you can you want to turn in the limit screw marked L. This chain popping in to the cassette can ruin a ride as it tears through your spokes and leaves you walking home.
Step 14: Barrel Adjuster
You will want to turn the barrel on the back of the derailleur in or out to line up the pulley with the smallest cog.
When it is lined up then try shifting through the gears.
If it shifts up to bigger gears fine but down to smaller gears not so well then you will want to tunr the barrel adjuster in slightly. Keep playing this game to you have it shifting right.