According to the custom of the priest's office, his lot was to burn incense when he went into the temple of the Lord.
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Cornelius a Lapide
AD 1637
According to the custom of the priesthood his lot was. That Isaiah , according to Bede, in his own course, which was the eighth in order, according to the lot which had originally fallen to the family of Abia. But mention of this course has been made in verse8; and therefore the lot spoken of in verse9 is different from the course, and more particularly limits the course. The meaning, therefore, is that when Zacharias, in the order of his course, was ministering in the temple, among the various offices of the priests the office of burning incense fell to him by lot. For because there were many priests of the course of Abia, it was appointed to them by lot what office each of them should perform in the Temple. For there were four principal offices (see Exodus xxx.)—1. To sacrifice2. To light the lamps on the seven-branched candlestick3. On the sabbath-day to place twelve new loaves on the table of shewbread4. To burn incense on the altar of incense. This fourth office, therefore, had fallen by lot to Zacharias, while the three others had fallen to other priests of the same class of Abia. This is clear from the Greek Îλαχε του̃ θυμια̃σαι, "he had obtained by lot to burn incense."
Some, as S. Ambrose, Bede, Theophylact, and S. Augustine think that Zacharias was the high priest, because he burnt incense on the altar of incense, for they think that this was in the Holy of holies, which no one except the high priest might enter. But I have shown (Exod. xl24), that this altar was not in the Holy of holies, but in the Holy place, which the common priests used to enter daily. The expression here used, it was his lot (sorte exiit. Vulgate) confirms this; for the high priest was superior to all lots, and, whenever he chose, used to minister in the temple. Besides, at this time, not Zacharias but Joazar was the high priest, as Josephus tells us (Antiq. xvii8).
Morally, we may learn that angels appear while we are engaged in sacred things, and that God either Himself or by an angel speaks with the soul when we are engaged in prayer or sacrifice, as the angel appeared to Zacharias when he was burning incense.