LOOK HERE NOW IF YOU WANT TO SAVE YOURSELF A TON OF HASSLE
This will save you LOADS OF TIME. YOU DON'T EVEN HAVE TO TAKE YOUR PHONE APART!!!
MishyTOO's solution is definitely the best. It takes not tools other than scissors and a normal drinking straw. This is my slightly modified version of his solution.
Materials: Drinking straw, Scissors, broken/cheap headphones(optional)
Step 1: Cut about two 2 inch pieces of your straw
Step 2: Cut about 1 inch of one end of the straws at an angle so it pointy.
Step 3: Get a a pair of headphones and use the jack of the headphones to push the phone jack a little bit to one side.
Step 4: Put the pointy end of the straw you cut into the small space created and gently push it down as far as it goes.
Step 5: Cut the excess straw length.
Step 6: repeat steps 3-5 for the opposite side.
Step 7: Test! Put your headphones in and out a few times, and giggle the plug a little bit to see if it cuts out at all or if the sound quality changes at all. Play a song and unplug your headphones to make sure the music pauses when the headphones are no longer plugged in.
Step 8: Adjust as necessary and enjoy!