The act of watching over and directing something, like a project or a group of people.
Superintendence is about being in charge and making sure things go the right way.
Examples:
The superintendence of the construction project is very important.
She has the superintendence of the whole team.
The superintendence of the school is a big job.
The superintendence of the cookie baking was a disaster!
His superintendence of the toy factory was so good, they made a million toys!
The superintendence of the playground was a big responsibility.