Final answer:
The Dispatcher is responsible for dividing CPU time among Child processes in computing, being part of the CPU scheduling system that includes context switching.
Step-by-step explanation:
The component that divides CPU time among Child processes is the Dispatcher. In computing, specifically in the context of operating systems, the dispatcher is part of the CPU scheduling system. The scheduler determines the order of task execution, while the dispatcher is the mechanism that gives control of the CPU to the process selected by the scheduler. This involves context switching, switching the CPU to the correct process context, and jump-starting the process execution. It's part of the broader task of process scheduling, which efficiently manages the execution of multiple processes sharing CPU time.