How to remove jammed sim card in s7?

So I got my sim card trapped in my phone. I didn't have it sitting correctly in the tray and it fell down the slot. I can't see it, and my tray will only go in halfway. Worst part is, I can't put a new one in and thus I have no service with this one stuck in my phone.
Any ideas on what I can do? I'll probably go to my phone company and see if they can help.

Yes, I think you can damage the SIM tray connectors if you're not careful, by bending them backwards or something. A visit to your carrier or a repairer would be best I think.

Good advice there, they are hot glued together and you can break them very easily if you don't get it right! It's a pretty phone, shame to destroy it...