Give us day by day our daily bread. Or "for the day"; or "every day", as the Syriac version renders it; See Gill on Matthew 6:11

Daily bread (τὸν ἄρτον τὸν ἐπιούσιον)

Great differences of opinion exist among commentators as to the strict meaning of the word rendered daily. The principal explanations are the following:

1. From ἐπιέναι, to come on. Hence,

a. The coming, or to-morrow's bread.

b. Daily: regarding the days in their future succession.

c. Continual.

d. Yet to come, applied to Christ, the Bread of life, who is to come hereafter.

2. From ἐπί and οὐσία, being. Hence,

a. For our sustenance (physical), and so necessary.

b. For our essential life (spiritual).

c. Above all being, hence pre-eminent, excellent.

d. Abundant.

It would be profitless to the English reader to go into the discussion. A scholar is quoted as saying that the term is "the rack of theologians and grammarians." A satisfactory discussion must assume the reader's knowledge of Greek. Those who are interested in the question will find it treated by Tholuck ("Sermon on the Mount"), and also very exhaustively by Bishop Lightfoot ("On a Fresh Revision of the New Testament"). The latter adopts the derivation from ἐπιέναι, to come on, and concludes by saying, "the familiar rendering, daily, which has prevailed uninterruptedly in the Western Church from the beginning, is a fairly adequate representation of the original; nor, indeed, does the English language furnish any one word which would answer the purpose so well." The rendering in the margin of Rev. is, our bread for the coming day. It is objected to this that it contradicts the Lord's precept in Matthew 6:34 :, not to be anxious for the morrow. But the word does not necessarily mean the morrow. "If the prayer were said in the evening, no doubt it would mean the following day; but supposing it to be used before dawn, it would designate the day then breaking" (the coming day). "And further, if the command not to be anxious is tantamount to a prohibition against prayer for the object about which we are forbidden to be anxious, then not only must we not pray for to-morrow's food, but we must not pray for food at all; since the Lord bids us (Matthew 6:25) not to be anxious for our life" (Lightfoot, condensed).

Give us {a} day by day our daily bread.

(a) That is, as much as is needed for us this day, by which we are not prevented from having an honest care for the maintenance of our lives; but that complaining care, which kills a number of men, is cut off and restrained.

11:1-4 Rebuking the Pharisees

SUMMARY OF LUKE 11:

Teaching the Disciples to Pray. Parable of the Three Loaves. Earnestness in Prayer. The Charge That Jesus Cast Out Demons by the Aid of Beelzebub. The Sign of Jonas. Dining with a Pharisee. The Pharisees and Lawyers Denounced.

Praying in a certain place. Luke neither tells where nor when.

Teach us to pray. Mt 6:9-13 gives the Lord's prayer, but does not say that the prayer was taught in response to a request. See the notes on Matthew.

day by day: or, for the day

Margin day by day

Or, for the day.

3. day by day, &c.-an extension of the petition in Matthew for "this day's" supply, to every successive day's necessities. The closing doxology, wanting here, is wanting also in all the best and most ancient copies of Matthew's Gospel. Perhaps our Lord purposely left that part open: and as the grand Jewish doxologies were ever resounding, and passed immediately and naturally, in all their hallowed familiarity into the Christian Church, probably this prayer was never used in the Christian assemblies but in its present form, as we find it in Matthew, while in Luke it has been allowed to stand as originally uttered.

11:1-4 Lord, teach us to pray, is a good prayer, and a very needful one, for Jesus Christ only can teach us, by his word and Spirit, how to pray. Lord, teach me what it is to pray; Lord, stir up and quicken me to the duty; Lord, direct me what to pray for; teach me what I should say. Christ taught them a prayer, much the same that he had given before in his sermon upon the mount. There are some differences in the words of the Lord's prayer in Matthew and in Luke, but they are of no moment. Let us in our requests, both for others and for ourselves, come to our heavenly Father, confiding in his power and goodness.