I will try my best to describe these and give examples.
In the process for the animal cell requires the splitting of the two new cells this is the use of the cleavage furrow. I believe the cleavage furrow is in a way a more aggressive way to split cells. The way it splits is by pinching and constricting. In the plant cells process the cell recreates its self by generating a new cell off of the existing cell wall. In the end the cell produces a cell wall and seamlessly splits off after creating a new cell wall for the new cell and keeping its old wall for its self.
