Student or Learner
"He filed an application with/to the department."
Would it be "with" or "to" here?
So, "file ... to..." doesn't exist?
So, "file some papers to some department for approval of something" is wrong?
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.
In your example here I would say one probably "files some papers with XXX department for their approval" or just possibly "files some papers in/at XXX dept".
The problem with prepositions in English is that sometimes only one is possible and sometimes several are possible!