The Number of Believers
Noah's wife was not a believer with him, so she did not join him; neither did one of Noah's sons, who was secretly a disbeliever but had pretended faith in front of Noah. Likewise most of the people were disbelievers and did not go on board.
The scholars (Ulama) hold different opinions on the number of those who were with Noah on the ship. Ibn Abbas stated that ther were eighty believers, while Ka'ab Al-Ahbar held that there were seventy-two. Others claimed that there were ten believers with Noah.

Noah Appeals to His Son
Allah told the story thus: And he (Noah) said: "Embark therein, in the Name of Allah will be its moving course and its resting anchorage. Surely, my Lord is Oft-Forgiving, Most Merciful." So it (the ship) sailed with them amidst the waves like mountains, and Noah called out to his son, who had separated himself (apart), "0 my son! Embark with us and be not with the disbelievers." The son replied: "I will betake myself to a mountain, it will save me from the water." Noah said: "This day there is no savior from the Decree of Allah except him on whom He has mercy." And a wave came in between them, so he (the son) was among the drowned.
And Noah called upon his Lord and said, "0 my Lord! Verily, my son is of my family! And certainly, Your Promise is true, and You are the Most Just of the judges." He said: "0 Noah! Surely, he is not of your family; verily, his work is unrighteous, so ask not of Me that of which you have no knowledge! I admonish you, lest you be one of the ignorants."
Noah said: "0 my Lord! I seek refuge with You from asking You that of which I have no knowledge. And unless You forgive me and have Mercy on me, I would indeed be one of the losers." Surah 11: 45-47

The Flood Ends
And it was said: "0 earth! Swallow up your water, and 0 sky! Withhold (your rain)." And the water was diminished (made to subside) and the Decree (of Allah) was fulfilled (i.e. the destruction of the people of Noah). And it (the ship) rested on Mount Judi, and it was said: "Away with the people who are Zalimeen (polytheists and wrong-doing)!" Surah 11: 44
It was said: "0 Noah! Come down (from the ship) with peace from Us and blessings on you and on the people who are with you (and on some of their offspring), but (there will be other) people to whom We shall grant their pleasures (for a time), but in the end a painful torment will reach them from Us." Surah 11:48
With the issue of the divine command, calm returned to earth, the water retreated, and the dry land shone once again in the rays of the sun. The flood had cleansed the earth of the disbelievers and polytheists.

The Believers Disembark
Noah released the birds and the beasts, which scattered over the earth. After that the believers disembarked. Noah put his forehead to the ground in prostration. The survivors kindled a fire and sat around it. Lighting a fire had been prohibited on board so as not to ignite the ship's wood and burn it up. None of them had eaten hot food during the entire period of the flood. Following the disembarkation there was a day of fasting in thanks to Allah.

Noah's Death
The Quran draws the curtain on Noah's story. We do not know how his affairs with his people continued. All we know or can ascertain is that on his deathbed, he requested his son to worship Allah alone. Noah then passed away.
Abdullah Ibn Amru Ibn Alaas narrated that Prophet Muhammad said: "When the death of the Messenger of Allah Noah approached, he admonished his sons: 'Indeed I would give you far-reaching advice, commanding you to do two things, and warning you against doing two as well. I charge you (to believe) that there is no god but Allah and that if the seven heavens and the seven earths were put on one side of a scale and the words 'There is no god but Allah' were put on the other, the latter would outweigh the former. And I warn you against associating partners with Allah and against pride.'"
Some traditions said that his grave is in the Sacred Mosque in Mecca (Makkah), while others said that he was buried in Baalabak, a city in Iraq.