I get 86 percentile in 1st jee main paper ,can I get any good government college

It is depend upon your category. If you belongs to sc st then chances are there to take admission in government college, and if you belongs to obc or general category then it is difficult to get government college because cutoff is always high for obc and general

Hello student cut off vary every year on various factors like the level of question in the entrance examination and total number of applicants in that examination.

You can easily calculate and get your rank by using this formula -
100 - (your total percentile) 869010 /100
In your case your rank must be around - 121,661

With this rank its difficult to get admission in government college as we all know that seats are very limited and admission is directly based on merit rank. I request you to please help me with your category so that I can check and provide you the exact information as category plays a vital role in admission.

Feel free to comment if you have any doubt
Good luck