Python: Divide-and-Conquer and Program Modularity

Do programmers need to develop the ability to break a large problem into a set of manageable components, each of which can focus on handling one specific task programmed as a separate function or module? If so, can there be more than one acceptable way to divide a program into modules and to organize the modules? Give a concrete example of a problem you'd recommend dividing into modules (sub-tasks), and then list/discuss the modules you'd choose. What would be the sequence in which the modules would be executed? What data would have to be shared among modules, and which values would only be relevant within a particular module? Would you break up any of your modules further, into sub-modules? Consider these questions and anything else that seems relevant. Post a meaningful explanation of your example, answering those and related questions.