What is the Biblical basis for the idea of accepting one's "station" in life? Often people say that they have a job, friend, or other "station" in life for a "reason" (including health, wealth, etc.). They feel that it is their obligation to stick it out in a job or personal situation that may be detrimental in some way especially when it is emotionally or mentally draining, but also even when it is a flat-out health risk. 

The exact phrase, in regard to people, I have heard from two people that have never met each other but are both Christians is "when I meet someone I feel like they are supposed to be in my life [forever]".

Other mantras exist for work situations also, but none come to mind at this moment.

I recently asked a Christian leader about what his take was on the subject and I got back that we should stick with these things unless they cause us to stumble in our Christian way of life.

What is the Biblical basis for this thinking?

I would like to know if there is a difference in how we are supposed to handle different situations; job, people, other....

Side note

It seems to follow a general thought of sticking it out in tough situations God will eventually reward you for your hard work and diligence in putting up with (mostly) other peoples [caused] problems. This seems wrong because the entire Bible is about God's grace we don't earn or deserve what we get from God, so how would sticking it out in any situation that is the least bit bad be a good thing? Why not move on and take steps to better ourselves by getting away from situations that are the least bit detrimental, an extreme example in my mind would be that of not seeking treatment for a health problem.
I take "station" to mean more of one's social status. As far as that goes, I give you:


  1 Corinthians 7:21 Art thou called being a servant? care not for it:
  but if thou mayest be made free, use it rather.


So, there's no obligation to stay in your station if you can be made free from it.

Similarly, I would say there's no obligation to stay with any person--aside from a spouse and even that is given some room in the Bible (Proverbs 21:9). But as regards friends and acquaintances, we have no obligation. In fact, I can only think of verses that say otherwise:


  Proverbs 14:7 Go from the presence of a foolish man, when thou
  perceivest not in him the lips of knowledge.
  
  1 Corinthians 5:11 But now I have written unto you not to keep
  company, if any man that is called a brother be a fornicator, or
  covetous, or an idolater, or a railer, or a drunkard, or an
  extortioner; with such an one no not to eat.
  
  2 Thessalonians 3:6 Now we command you, brethren, in the name of our
  Lord Jesus Christ, that ye withdraw yourselves from every brother that
  walketh disorderly, and not after the tradition which he received of
  us.


I think so many people's lives are ruled by what your friend said. Their mantra is "I feel like..." instead of an actual Bible principle.