Her husband only gives her maintenance, and he lives far away from her. Can she ask for a divorce?
Question

                Peace be upon you, and the mercy of Allah.

I have been divorced (with talaq) two times. The first time was because I asked my husband to give me and my children just one day each month when we could sit together, against his wishes and those of his family. The second time was because he loves another woman and he humiliates me in front of my children, and he shows favour to her and does not care about my feelings or the feelings of my children. He tells her that he loves her on the phone, where I can see and hear him, even though he is not married to her. Now he had traveled and left me alone with our children, and he has no connection with us apart from some money which he sends via his family.

 If I get divorced, will Allah compensate me with something better and make me independent of means by His bounty, and will He compensate me for the wrongs that have been done to me by this hard-hearted man? Or will that mean that I am not content with the decree of Allah? Do I have the right to have a husband with whom I can live in love, mercy and tranquility, or do I have to put up with living a life of humiliation, me and my children, for the sake of this monthly allowance that he sends via his family in order to humiliate me even further? Am I regarded as patient or as weak and broken because I have put up with this life for 11 years for fear of the word of divorce?.
Praise be to Allah.
    Firstly: 

    Allah has permitted a man to have several wives, and has 
    forbidden men to mistreat their wives. If a man wants to have more than one 
    wife, then he can keep the first wife on a decent and reasonable basis, or 
    he can let her go in a kindly manner. It is not permissible for him to keep 
    her married to him whilst forsaking her and not giving her her rights. It is 
    not permissible for him to be negligent with regard to his family and the 
    upbringing of his children. Plural marriage has not been prescribed in order 
    to destroy families, rather it is prescribed to build families and increase 
    their numbers. 

    This forsaking of his wife and negligence is haram for him, 
    even if he had another wife according to sharee’ah, so how about if he is 
    forsaking his wife and neglecting his family for an illegitimate reason such 
    as a haram relationship and corrupt desires? 

    Secondly: 

    The wife has the right to ask for a divorce from her husband 
    if she cannot bear his bad treatment. This does not mean that she does not 
    accept the decree of Allah. Indeed in some cases it may be haram for her 
    to stay with a husband who commits major sins and whose children are not 
    safe from his evil influence and bad treatment. As divorce is allowed in 
    Islam and it may even be obligatory to ask for a divorce in some cases, 
    there is no need to think that this may go against belief in the divine will 
    and decree, because Allah has decreed both marriage and divorce. 

    The wife has the right to live with her husband and be 
    treated in a decent and reasonable manner, and to have a husband with whom 
    she can feel happy and who will be like a garment for her, so that there 
    will be love and compassion between them. This is the reason for which 
    marriage was prescribed, and if anything detracts from what we have 
    mentioned, then it is contrary to the reason for which marriage was 
    prescribed. 

    Hence the husband should choose a woman who is 
    religiously-committed, and fathers and guardians should marry their 
    daughters and female relatives under their care to men who are 
    religiously-committed and of good character, because if the Muslim household 
    is established on the basis of the laws of Allah, no wrongdoing or cruelty 
    will be seen in it. If a wife dislikes her husband for a legitimate shar’i 
    reason, then she can ask for divorce (talaq) or can divorce him by khul’, 
    and if he dislikes her he can divorce her by talaq and give her her rights 
    in full. He should either retain her on reasonable terms or release her with 
    kindness.  

    If divorce takes place, then Allah may decree that she finds 
    a good, righteous husband, as He says (interpretation of the meaning): 

    “But if they separate 
    (by divorce), Allah will provide abundance for everyone of them from His 
    Bounty”

    [al-Nisa 4:130] 

    Thirdly: 

    Some women stay and put up with their husbands because of the 
    possibility that Allah may reform them, or so that he will remain in 
    contact with his children and take care of them and spend on them. If a long 
    time goes by and he does not reform or he mistreats his wife and children 
    too much, and she has sufficient money to spend on herself and her children, 
    then there is no point in her staying with him. Rather the right thing to do 
    is to rid herself of him so that she can live a better and more decent life, 
    and raise her children to obey Allah and His Messenger  (peace and 
    blessings of Allah be upon him). 

    You should take stock of yourself and repent to Allah for 
    any sins or transgressions that you may have committed against the rights of 
    Allah or the rights of your husband, or anyone else. Perhaps what has 
    happened to you may be a punishment for a sin that you have committed, 
    because Allah says (interpretation of the meaning): 

    “And whatever of misfortune befalls you, it is because of 
    what your hands have earned. And He pardons much”

    [al-Shoora 42:30] 

    Think long and hard about your situation and how likely it is 
    that you may find a husband after him or live a peaceful life without him. 
    Consult people around you who are close to you and are sincere. I advise 
    you, if they agree with you, to divorce him if the situation is as you 
    describe in your question. So pray istikharah and ask Allah for guidance, 
    and if you feel at ease with the idea of divorce then go ahead, and ask 
    Allah to make you independent of means by His bounty. We ask Allah to set 
    your affairs straight and to relieve your distress and reconcile between you 
    if that is better for you both. 

    And Allah knows best.