What is Washington saying in this quote? He can do anything he wants because he is in a new public office. He knows that he will be leading America as it faces new challenges. He must follow the examples of other presidents.

He knows that he will be leading America as it faces new challenges.

Explanation:

What George Washington was saying in this quote is that "He knows that he will be leading America as it faces new challenges."

This is evident in the fact that he was the first President of the United States and as a new nation, most of his actions and inactions would full of challenges that have never been faced in the history of the country before.