Keep the container on private property, in your own driveway or on your own lot, clear of the sidewalk and the travelled way, and Butte-Silver Bow asks nothing of you.
There is a second question that catches people out, and it is about the business rather than the container. The city-county requires a license for every business operating inside its boundaries, issued by the treasurer, and that is the license a hauler needs here. There is no separate refuse franchise, no approved-hauler roster and no enrolment window in Butte, which makes it one of the more straightforward places we work. Your account manager confirms the paperwork is in order before a delivery date is set.
If any part of the container has to sit in the street, an alley or the sidewalk, that is a Public Works conversation. Butte-Silver Bow runs permits for construction inside the public rights-of-way, for easement requests and for sidewalk and parklet use, but it publishes no container-specific street permit and no posted fee for one, so an administrative route may exist that is not written down. Nothing on a street placement should be promised until Public Works has been asked.
One rule does apply to every construction and demolition site in the city-county, whoever runs it. The owner, the agent and the contractor each have a duty to keep litter off the site before, during and after the work, to have adequate containers on site, to arrange collection, and to show proof of proper collection or disposal at an authorized facility if the city-county asks for it. Start the job with a container and that duty takes care of itself. The departments directory at Butte-Silver Bow will put you through to the right desk; your account manager can help you find it.