Final answer:
The Supply or Logistics division within a military or naval force operates all phases of the general mess, managing meal planning, preparation, and finances.
Step-by-step explanation:
The division that operates all phases of the general mess is typically within a military or naval force, and it is known as the Supply or Logistics division. This division is responsible for planning, sourcing, preparing, serving, and managing the funds of food services within a military environment. The personnel, often referred to as Culinary Specialists or similar titles, receive specialized training to manage these operations effectively, ensuring that troops are well-fed and nutritional standards are met.