Opens from the home screen:
Contacts -> More -> Settings - Import / Export> Contacts -> Export
Selects here now as a destination "Sim card". With this method, only "name and telephone number" are transmitted to the SIM card. More information can be backed up there, unfortunately not.
You can choose which Contacts are to be transferred to the SIM card now. "All" all the contact to your SIM card are saved with the checkbox. Tap on "Done" and the Samsung Galaxy S6 Edge will start copying now.