I am stuck in a situation my broken plug piece stuck in a switch board while working in office as it is direct connection how easily I can remove it so that it didn't harm me?
Dealing with electricity you don't control, requires you to be VERY careful. Use a multimeter, find out if it's live. Even if it isn't, I agree with the insulated pliers. Before you say this is too involved, it isn't.
Find your local Harbor Freight, buy insulated pliers for $6 (https://www.harborfreight.com/8-inch-long-nose-high-voltage-insulated-pliers-96906.html), and a meter for $6 (https://www.harborfreight.com/7-function-digital-multimeter-63604.html), watch some youtube videos to learn what you're doing (https://www.youtube.com/results?search_query=check+an+outlet+with+a+multimeter).
Notice: I'm not an electrician, and I might be an idiot. Don't trust anonymous information like mine or anyone else's when it comes to your life and well-being. Get a professional or the facilities manager to help you.
Can you turn off the electricity for that room by switching off the circuit breaker? These should be easily accessible in any private home. Then remove the cover of the switchboard and take out the broken plug piece.
In company buildings talk to the janitor / facility manager and let them do their job.