Introduction
Before proceeding to fix the Sim Card tray, make sure the issue regarding the sim card detection isn't due to a faulty sim card.
Tools
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            Insert a safety pin or other small object in the small opening next to the SIM card slot to remove the SIM card. 
 
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            Cut a piece of tape/ paper approximately the size of your Sim Card and secure it to the back side of the Sim. Be sure to trim any excess. 
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            Slowly slide the Sim Card tray back into the device. It should be a smooth transition, don't force the tray in. 
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            If the tray is still loose you can keep adding tape/paper until it's no longer loose. 
 
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                            Conclusion
                          
                          To reassemble your device, follow these instructions in reverse order.