How to use "generally" in a sentence

They have conducted it through many perils, and generally with great success

One eighth of the whole population were colored slaves, not distributed generally over the Union, but localized in the Southern part of it

It was also not generally understood that because Mars is older and smaller than our Earth, and further from the sun, it is nearer life's end as well as further from its beginning.

It is generally supposed that the Martians communicated by sounds and by moving their arms