There is no exact method but many. Here's a search on the videos.
Some folk go get dental tools, some try the glue method.
https://www.google.com/search?q=remove+broken+headphone+jack&ie=utf-8&oe=utf-8
https://www.google.com/search?q=remove+broken+headphone+jack&ie=utf-8&oe=utf-8#q=remove+broken+headphone+jack&tbm=vid
Remember that for about 7 dollars you can have this stand in if you can't get it out.
Link follows.
http://www.amazon.com/Sabrent-External-Adapter-Windows-AU-MMSA/dp/B00IRVQ0F8/
I had my headphones plugged inside my laptop. After browsing the web for a while i completely forgot. I got up and walked with my laptop. Eventually i waked enough length from the headphones so the headphone plug is now stuck inside my laptop headphone jack.
Any way i can fix this without opening up my laptop?

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