Does a husband have to be patient with his wife all the time and not divorce her?
Question

                We know that the wife of Nuh (as), and the wife of Lut (as) 
went to jahannam, may Allah protect us from his displeasure, amin.  Is this evidence that brothers should patient with their wives all the time, and not divorce them? 
I have heard that the Messenger of Allah, (pbuh), divorced women. What is the difference between keeping a woman with bad behavior and counseling her, and getting rid of a woman with bad behavior?
Praise be to Allah.Undoubtedly 
          the wives of Nooh and Loot (peace be upon them) will enter Hell with 
          those who will enter it, but they did not commit any obvious sin that 
          would imply kufr, otherwise it would not have been permissible for these 
          Prophets to have remained married to kaafir women, because Allaah says 
          (interpretation of the meaning): 
“… 
          Likewise hold not the disbelieving women as wives” [al-Mumtahanah 60:10] 
Perhaps 
          the wife of Nooh was concealing kufr, or perhaps, despite the fact that 
          Nooh had been calling people to Allaah for so long, she was influenced 
          by the call of her people when she saw that all of her people were following 
          kufr, so she became doubtful and wondered how he alone could be a believer 
          when all of these people were disbelievers, and they formed the majority 
          of their nation. So her kufr may have been secret. The same applies 
          to the wife of Loot, of whom they said that her only sin was that she 
          told her people about his guests, i.e., she called them to come and 
          commit obscene actions with them. This was her sin, but it is possible 
          that she was also a kaafir in secret. Hence Allaah said (interpretation 
          of the meaning): 
“… 
          except his wife, she will be of those who remain behind” [al-‘Ankaboot 
          29:32] 
This 
          is a summary of the response given by Shaykh ‘Abd-Allaah ibn Jibreen, 
          may Allaah preserve him. 
It 
          is permissible for a husband to divorce his wife so long as there is 
          a shar’i reason for doing so, such as a lack of religious commitment, 
          a bad attitude, lack of chastity, negligence, etc., even if she is not 
          a kaafir. But if she is a righteous believer, let him keep her, even 
          if he dislikes some of her characteristics, as the Prophet  
          (peace and blessings of Allaah be upon him) said. It was narrated that 
          Abu Hurayrah said: the Messenger of Allaah  
          (peace and blessings of Allaah be upon him) said: “Let not a believing 
          man hate a believing woman. If he dislikes one of her attributes, he 
          will be pleased with another.” (Narrated by Muslim from Abu Hurayrah, 
          1469). 
When 
          the Prophet  (peace and blessings 
          of Allaah be upon him) wanted to divorce Hafsah, Allaah revealed to 
          him: Go back to Hafsah, for she fasts a lot and prays a lot at night, 
          and she will be your wife in Paradise. Al-Mundhiri said: this was narrated 
          by al-Nasaa’i and Ibn Maajah. ‘Awn 
          al-Ma’bood Sharh Sunan Abi Dawood, hadeeth no. 2283. 
The husband has to strive to reform his 
          wife and pray to Allaah to reform her. Allaah will reform a wife in 
          whom there is some crookedness, if He wills, as He said concerning His 
          slave Zakariya (interpretation of the meaning):
“… 
          and [We] cured his wife for him…” [al-Anbiya’ 
          21:90] 
 Some 
          of the mufassireen (commentators) said that she used to have a sharp 
          tongue, i.e., her speech towards her husband was offensive, so Allaah 
          reformed her.
 A 
          man may put up with the difficulty of keeping his wife in order to ward 
          off a greater difficulty, which is that of separating the children and 
          dividing the family. But if the harm caused by staying with one’s wife 
          is greater than the harm caused by separating from her, there is nothing 
          wrong with him divorcing her. And Allaah is the Source of strength.