A flowchart is popular in visualizing step-by-step solution or workflow. A little drawback though - no common agreement on shape representation. This is where Business Process Model and Notation (BPMN) can fill, with a worldwide standard of graphical notation easy for anyone to read. Even more, it helps depict work responsibility.
An Organization can be represented by a Pool. If you are designing an internal process, you just need one Pool. You may define your company or department as a Pool.
A Participant can be represented by a Lane. A lane can represent a role or a position. Do not put a person (e.g. John) in a Lane. You can specify who to play the role when you start your workflow.
Add a start event to the Lane that will trigger the workflow.
Click on the Resource Catalog icon on top of the Start event icon. Drag the Resource Catalog icon to a desired spot. Release the mouse to activate the Resource Catalog. Select Task from the catalog menu, then enter task's name. Please name a task in "verb + noun" form (e.g. Process Order). Repeat this step to create tasks for all participants.
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