Pretty much the title is the question. Lets take the massive blackhole of our milky way does this black hole orbit something?
There is a balance to be had between relative velocity, mass and distance of objects. Below a certain threshold objects will tend to orbit each other. Above it they won't.
As an example some objects have sufficient velocity to pass through the Solar System without orbiting the Sun. Similarly some objects acquire sufficient velocity to be ejected from the Milky way entirely never to return.
As for galaxies themselves, I believe that the distances are so vast and the relative velocities so high that large galaxies do not strictly orbit one another. Although there is gravitational interaction the universe at the very largest scales appears more like a web like structure with vast filaments and voids.
A word of caution here. The rotation of stars in galaxies do not appear to agree with our existing laws of gravity. Dark matter has been proposed as one solution to this discrepancy, but it is unclear exactly what this might consist of...