How to get Dismantle an item quest

My friend got a main mission called Dismantle an item but I didn't. Anyone know how I am able to get that main mission.

This has to do with Crafting. If you have any PA/Tech disk that's level 11+, you can go to your Personal Quarters, use the PQ terminal, select Crafting, DIY Crafting, and dismantle those items for PA Fragments. PA Fragments are generally used for PA and Technique Crafting, which is also done in your Personal Quarters.