Final answer:
Actin filaments and the motor protein myosin are responsible for forming the cleavage furrow that separates a cell into two during cell division.
Step-by-step explanation:
The filaments and motor proteins responsible for 'pinching off' and cleaving the cells at the end of cell division are actin filaments and the motor protein myosin.
During cell division, particularly during the process of cytokinesis, actin filaments work in conjunction with myosin to form the cleavage furrow that constricts and separates the cell into two distinct daughter cells. This mechanism is crucial for the successful completion of cell division, ensuring that each new cell is properly separated from its twin.