Complete all information on the Application for a Professional Limited Liability Company registration. If you have questions about organizing your LLC, please contact my office's Department of.Business Services, Limited Liability Division, at. 217-524-8008. 1. Choose a business name for the corporation and check for availability. A director appointed to fill a vacancy shall serve until the next meeting of shareholders at which directors are to be elected. This guide will inform you of various legal requirements and direct you to additional resources. This guide will help you file formation documents, get tax identification numbers, and set up your company records. Appointment of Director in a Private Limited Company: A Practical Guide. The first thing you will need to do to form an LLC is to complete your Articles of Organization. Then file them with the Secretary of State.