Such an ambiguous word. Divided can have both positive and negative connotations. A house divided against itself cannot stand. The division of labour within an organization makes for greater efficiency. Division is usually a more difficult mathematical operation than multiplication. If it were not so, teachers would not bother to teach students the trick of turning division problems into multiplication ones.
It is one thing to divide a pizza into 12 pieces in order to feed a brood of hungry children. Division in this case implies fairness- a guarantee that each child will get equal portions. It is another thing to have divided opinions in a room seeking consensus of thought and action. Dividedness results in hung juries, fractured relationships, and instability. To be divided is not to be united. And that can be bad, or good depending on the situation. Am I sounding divided enough?