Expect a staged, methodical job rather than a quick one. The subfloor is propped, old stumps are removed section by section, footings are excavated and poured, concrete stumps are set and the bearers are packed back to a level agreed with you beforehand. Bringing a century-old house fully back to level is not always the goal, because moving an old structure too far too fast opens up plaster and cornices, so the target level is a decision made with you rather than for you.
Some plaster cracking and door adjustment is normal afterwards, and any honest restumper will tell you that before starting rather than after. Once complete, the house sits on footings sized for the ground beneath it and the sinking that caused the problem stops.
Restumping generally requires approval and inspection, and in declared Mine Subsidence Districts there can be additional requirements. We will tell you what applies to your property before work is booked.