The critical section problem involves multiple processes wanting to access a shared resource exclusively. Each process checks if the critical section is free before entering. If free, it enters and executes its code inside the critical section. If occupied, the process waits until the critical section becomes free. After finishing, the process exits and signals others to enter. This ensures only one process accesses the shared resource at a time, preventing conflicts. The execution table shows processes taking turns entering and exiting the critical section, with waiting processes queued until the resource is free.