You can file the Articles of Organization online at the Georgia Secretary of State's website. There, you can also see a good list of FAQs, a sample Art. of Org., and find the fees required for the filing.
An operating agreement is not fled with the state, and many LLCs do not have them - but they should, especially if there is more than one member (owner) of the LLC. The operating agreement sets forth how the LLC will be managed, and by who, and may contain provisions for how the profits - or losses - of the LLC will be allocated among the owners, and how the LLC will be managed if there is a disagreement between the owners. The operating agreement may also contain buy/sell provisions that detail the plan for what happens when an owner decides he or she wants out of the company, or in the event of his or her death or incapacitation, etc.
Its wise to hire an experienced business lawyer to prepare an operating agreement and buy/sell agreements when you are going into business with another person or persons. Good planning up front can prevent disagreements between the owners in the future, and can also prevent costly litigation between the owners if that planning is not completed.
