The correct answer to this open question is the following.
Knowing what I know about Washington's past, what I think he meant by this quote: "the office chooses the man" is the following.
For General George Washington, that quote meant that sometimes in the life of a man, he has to accept the fact that although you do not want some, your responsibility is to accept some kind of job because you are the one who has the knowledge and experience to do it right.
Maybe is difficult, maybe is tough, but only a few brave men have the talent to do it. So it is not a matter of if you like it or want it. It is that you are the one with the credentials to do it right.
And this was the case of George Washington the first President of the United States.
They were originally royal colonies. New York and New Jersey were under the direct control of the king.
Hope this Helps! (:
