The phrase "to grow the division" means to increase the size, success, or productivity of a specific department or group within an organization. Full definition
The size, diversity and growing divisions within the society made it increasingly difficult to govern or direct. (thecanadianencyclopedia.ca)
Our modern society is characterized by an ever growing division of labor, the diversification of tasks, and the specialization of our university education. (sciencemag.org)
Out of such self - censorship grow division and faction. (firstthings.com)