His lot was (ἔλαχε)

Four lots were drawn to determine the order of the ministry of the day: the first, before daybreak, to designate the priests who were to cleanse the altar and prepare its fires; the second for the priest who was to offer the sacrifice and cleanse the candlestick and the altar of incense; the third for the priest who should burn incense; and the fourth appointing those who were to lay the sacrifice and meat-offering on the altar, and pour out the drink-offering. There are said to have been twenty thousand priests in Christ's time, so that no priest would ever offer incense more than once.

Temple (ναὸν)

The sanctuary. See on Matthew 4:5.

Burn incense (θυμιᾶσαι)

Only here in New Testament. The incensing priest and his assistants went first to the altar of burnt-offering, and filled a golden censer with incense, and placed burning coals from the altar in a golden bowl. As they passed into the court from the Holy Place they struck a large instrument called the Magrephah, which summoned all the ministers to their places. Ascending the steps to the holy place, the priests spread the coals on the golden altar, and arranged the incense, and the chief officiating priest was then left alone within the Holy Place to await the signal of the president to burn the incense. It was probably at this time that the angel appeared to Zacharias. When the signal was given, the whole multitude withdrew from the inner court, and fell down before the Lord. Silence pervaded the temple, while within, the clouds of incense rose up before Jehovah. (For a more detailed account see Edersheim, "The Temple, its Ministry," etc.).

Luke 1:9 Parallel Commentaries

his.

Exodus 30:7,8 And Aaron shall burn thereon sweet incense every morning: when he dresses the lamps, he shall burn incense on it...

Exodus 37:25-29 And he made the incense altar of shittim wood: the length of it was a cubit, and the breadth of it a cubit; it was foursquare...

Numbers 16:40 To be a memorial to the children of Israel, that no stranger, which is not of the seed of Aaron...

1 Samuel 2:28 And did I choose him out of all the tribes of Israel to be my priest, to offer on my altar, to burn incense, to wear an ephod before me?...

1 Chronicles 6:49 But Aaron and his sons offered on the altar of the burnt offering, and on the altar of incense...

1 Chronicles 23:13 The sons of Amram; Aaron and Moses: and Aaron was separated, that he should sanctify the most holy things, he and his sons for ever...

2 Chronicles 26:16 But when he was strong, his heart was lifted up to his destruction: for he transgressed against the LORD his God...

2 Chronicles 29:11 My sons, be not now negligent: for the LORD has chosen you to stand before him, to serve him, and that you should minister to him...

Hebrews 9:6 Now when these things were thus ordained, the priests went always into the first tabernacle, accomplishing the service of God.