The phrase "in an orderly fashion" means to do something in a well-organized and systematic way, with a clear plan or structure. It suggests that there is a sense of discipline, control, and efficiency involved in carrying out the task at hand. This phrase can be used to describe any activity that requires careful planning, coordination, and execution, such as managing a project, organizing an event, or completing a set of tasks. Essentially, it means doing things with purpose, intention, and attention to detail, in a way that is logical, methodical, and controlled.