Vs. 1- 5
“And God remembered,” many times in my life I have been going through a trial and it seemed that God had forgotten me. As I read through scripture I find I am in good company, David and some of the other writers of the Psalms, Noah here and others have expressed the same sentiment. We know that God doesn’t forget but it sure seems like it sometimes, anyway God causes the sources of the water to stop and then a wind to pass over the earth. Wind will evaporate water faster than sunlight. After 150 days the waters were abated;
A primitive root; to lack; by implication to fail, want, lessen: - be abated, bereave, decrease, (cause to) fail, (have) lack, make lower, want.
Now remember that in Gen. 7: 11 it was the 2nd month the 17th day that the flood started and here in verse 4 we see that it is the 7th month the 17th day that the waters were abated. If we take the 150 days and divide it by the 5 months we get 30 day months. That is assuming that verse 3 and 4 are talking about the same day. In the modern Jewish calendar there are 3 months that only have 29 days between the 2nd and 7th months.
Also in verse 4 it says the ark rested on the mountains of Ararat not the mountain of Ararat and it must have been pretty high up because it is 2 and a half months later that the tops of the other mountains were seen.
Vs. 8 - 12
After 40 more days Noah opened the window and sent out a raven which went to and fro until the waters were dried up but did not return. Noah then sends a dove “But the dove found no rest for the sole of her foot.” This phrase has for years reminded me of a verse in the New Testament;
Luk 3:22 And the Holy Ghost descended in a bodily shape like a dove upon him, and a voice came from heaven, which said, Thou art my beloved Son; in thee I am well pleased.
Where the Dove of the Holy Spirit finally found rest among mankind.
Anyway this dove returns to the ark and after 7 days Noah sends it out again. This time the dove returns with an olive leaf meaning things were growing again. For whatever reason Noah waits 7 more days and sends out the dove again, this time it doesn’t return.
Vs. 13 - 22
In the 1st month and the first day of the month the ground was dry, notice it is the 601st year which leads me to believe that Noah is writing this because it is his 601st year. And in the 2nd month 27th day the Earth dried. Perhaps the difference being that the ground around the Ark was dried in the 1st month and the whole Earth was dried in the second month. Finally God speaks again, a long time between conversations. Can you imagine going through what they went through and standing on God’s promise through it all? Sometimes walking the narrow path is like that. God tells Noah to leave the ark with everything that was in it and the first thing Noah does is build an alter to God and sacrifice an offering.
Vs. 21 and 22
And the LORD smelled a sweet savor; and the LORD said in his heart, I will not again curse the ground any more for man's sake; for the imagination of man's heart is evil from his youth; neither will I again smite any more every thing living, as I have done. While the earth remaineth, seedtime and harvest, and cold and heat, and summer and winter, and day and night shall not cease.

I would like to add a little story I heard once,
Next time you don’t feel qualified remember that experts built the Titanic and armatures built the ark! And my take on it is that professionals also steered the Titanic but GOD guided the ark!