How will Allah Almighty Judge us in the Day of Judgement?   How does Allah Almighty see the sin between man and man?

Allah Almighty is quite clear in the Noble Quran about how He will judge us in the Day of Judgement.

Let us look at Noble Verse 10:61 "In whatever business thou mayest be, and whatever portion thou mayest be reciting from the Quran, and whatever deed ye (mankind) may be doing, We are witnesses thereof when ye are deeply engrossed therein. Nor is hidden from thy Lord (so much as) the weight of an atom on the earth or in heaven. And not the least and not the greatest of these things but are recorded in a clear record."   In this Noble Verse, we see Allah Almighty clearly describing to us that every single act even an atom of a thing we do in life from good and bad will be recorded in our records.

Let us look at Noble Verse 34:3 "The unbelievers say, 'Never to us will come the Hour': Say, 'Nay! but most surely, by my Lord, it will come upon you; by Him Who knows the unseen, from Whom is not hidden the least little atom in the heavens or on earth: Nor is there anything less than that, or greater, but is in the record perspicuous.'"  Here we see in this Noble Verse Allah Almighty responding to the unbelievers when they approached our beloved Prophet Muhammad peace be upon him.  Allah Almighty's response was that every atom of thing they do can not be hidden and is recorded in the record perspicuous.

Let us look at Noble Verse 34:22 "Say: 'Call upon other (gods) whom ye fancy, besides God: They have no power,- not the weight of an atom,- in the heavens or on earth: No (sort of) share have they therein, nor is any of them a helper to God.'"  In this Noble Verse Allah Almighty claims that no god but He will do the Judgement in the Day of Judgement.  All of the idols and images that people worshiped and still do will not take part of any Judgement.  They will be worthless.

Let us look at Noble Verses 99:7-8 "Then shall anyone who has done an atom's weight of good, see it!  And anyone who has done an atom's weight of evil, shall see it."  Everything we do in life will be recorded for us.  For every atom of good we do in life we shall see it, and for every atom of evil we do in life we shall see it also.  And Allah Almighty will ultimately make His decision on whether you will make it to heaven or will make it to hell.

Conclusion:

Every little atom of good and evil an individual makes in life will be recorded for him, and he shall see it in the Day of Judgement.  Allah Almighty will then make His ultimate decision for that person on whether he shall go to hell or to heaven.