The dedication of the Temple and the placement of the Ark of the Covenant into the Holy of Holies marks a moment of unprecedented mobilization among all those who served God. At this pivotal moment, the narrative flow pauses. Rather than immediately detailing how the cloud of God filled the sanctuary upon the priests' exit, as is recounted in the Book of Kings, a brief aside is introduced to clarify exactly how the priests conducted themselves [רש״י].
The priests stepped out of the inner sanctuary right after they finished placing the Ark in its designated spot [מצודת דוד, ביאור שטיינזלץ]. On this monumental day, every priest present in Jerusalem purified and prepared himself for service. Because they all gathered and readied themselves as one unified group, there is no specific mention of which individuals worked or which division they belonged to [מצודת דוד, ביאור שטיינזלץ].
This unified effort represents a temporary shift from the standard daily routine. Normally, the priests and Levites were organized into twenty-four fixed groups that served in a set rotation [רש״י, רד״ק]. However, the commentators agree that on this specific occasion, the usual schedule was entirely set aside. The sheer volume of the gathered crowd and the massive number of sacrifices made it impossible for a single group to manage the workload alone. Necessity dictated that all the priests and Levites join forces, working and offering praise together to handle the extraordinary demands of the day [מצודת דוד, רלב״ג, רד״ק].