...asking that type of is looking for you to relate your ability to develop a systematic organization to handle details. Years ago upper management assembled people with complementary talents and got the job done. Some folks were valuable because they were very detail oriented while others had tremendous creativity. Everyone shared some basic level of many talents but often the team had stars in a few areas. Today what is valued is the ability of an employee to relate in words and writing the process by which they accomplish what it is they do. Establishing a set process gives management a better handle on judging progress.
For the most part, if I was the answering the question, my answers would be a bit different if the details were mine to handle or were to be delegated to others. The basic steps common to both would be:
* Identify all of the major tasks and make a list of them including a status/condition/requirement that could be used as a criteria to judge the completeness of the task.
* Breakdown the tasks into minor tasks and prioritize them.
* Assign the tasks and make a schedule.
* Track progress and report issues and/or problems.
Mostly this procedure oriented approach is desirable for places that are involved with ISO or CMMI type standards.
Also, it's just a good idea to have a formal record of your diligence in accomplishing a goal or completing a project.
In the aerospace world there are standards that are targeted due outside regulation like: http://en.wikipedia.org/wiki/DO-178B.
In the DoD world there is: http://en.wikipedia.org/wiki/IEEE_12207.
These documents are about organization and recording of the evidence of diligence.
I hope this helps. 
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