The question of how the site for division of the cytoplasm is determined at the end of mitosis has been studied for over a century, and it remains an active, controversial and fascinating problem in cell biology. This problem draws on the use of several model cell types, with the goal of understanding and identifying how the cell cycle regulates signals between the mitotic apparatus and the cell cortex. Studies in different cell types and using a vast array of techniques reveal different answers: these might reflect differences in experimental approaches, multiple and redundant mechanisms and, importantly, diversity in biology. In this article (which is part of the Cytokinesis series), we present a summary and critique of the major models for the roles of the mitotic apparatus microtubules in stimulating furrow formation at cytokinesis.