Surgical exploration of the common bile duct involves removing gallstones discovered during cholecystectomy. Key steps include: 1. Performing intraoperative cholangiography to identify stones 2. Making an incision in the bile duct and extracting stones using forceps, balloons, or baskets 3. Placing a T-tube for drainage and performing a follow up cholangiogram to ensure clearance Post-operatively, patients are monitored for complications like bleeding or leakage and the T-tube is typically removed after 2 weeks if follow up imaging is normal. Surgical exploration effectively treats gallstones and provides pain relief for most patients.