An E. coli cell divides. That the DNA is passed on to every "new born cell" post-division is no big deal. But along with DNA the daughter cell must also receive at least a bare minimum non-DNA things to make use of this genetic information. Which is why a cell division involves distribution of cytoplasmic goodies between daughter cells than just budding off of a replica of the original DNA molecule.
This means that every cell, each and every one of them that we are made up of and those we see around us in other beings have at least once shared a single cell membrane at some time point since the first membranated organism in the primordial soup upto this moment. And this truth will remain so as long as there continue to be cells. The mother of all chains - this cytoplasmic connection.
