To solve this question, the user should be familiar with different programming methodologies and their characteristics. The user should be able to identify the methodology where code is broken into small, logical procedures.

Option A: Event-driven programming is a programming paradigm where the flow of the program is determined by events such as user actions (clicking a button), sensor outputs, or messages from other programs/threads. This option is incorrect because it is not the methodology where code is broken into small, logical procedures.

Option B: Functional programming is a programming paradigm where programs are constructed by applying and composing functions. This option is incorrect because it is not the methodology where code is broken into small, logical procedures.

Option C: Granular programming is not a widely recognized methodology in programming. This option is incorrect.

Option D: Modular programming is a methodology where code is broken down into independent, interchangeable modules that can be used in different parts of the program. This option is the correct answer.

Option E: Procedural programming is a programming paradigm where the program is structured around procedures, or subroutines, that perform specific tasks. This option is similar to option D but does not emphasize the independence and interchangeability of the modules.

Therefore, the answer is: D. modular programming.