He died and left behind a wife, a mother, sons and daughters, and brothers and sisters. How should the estate be divided?
Question

                A man died and left behind three sons, three daughters, a wife, a mother (grandmother), two full brothers, two full sisters, a half-sister through the mother and two half-brothers through the mother. 

The estate was not divided after he died, then his mother (the grandmother) died, then his wife died. 

How should the estate be divided?.
Praise be to Allah.
    Firstly:

    As there are children of the deceased, the brothers and 
    sisters do not inherit anything, whether they were full siblings or siblings 
    through the mother. 

    Ibn Qudaamah said: A brother or sister through the father and 
    mother, or through the father, do not inherit if there is a son or a son’s 
    son, no matter how far the line of descent goes, or if there is a father. 

    The scholars are unanimously agreed on this, praise be to 
    Allah. End quote. Al-Mughni, 7/4. 

    Ibn al-Mundhir said: And they were unanimously agreed that 
    siblings through the mother do not inherit if there is a child, male or 
    female. End quote. Al-Ijmaa’ by Ibn al-Mundhir, p. 18 

    Based on that, the ones who inherit from this deceased are: 
    the sons, the daughters, the wife and the mother only. 

    The mother gets one-sixth, because Allaah says 
    (interpretation of the meaning): “For parents, a 
    sixth share of inheritance to each if the deceased left children” [al-Nisa’ 
    4:11]. 

    The wife gets one-eighth, because Allah says (interpretation 
    of the meaning): “In that which you leave, their 
    (your wives) share is a fourth if you leave no child; but if you leave a 
    child, they get an eighth of that which you leave” [al-Nisa’ 4:12]. 

    What is left of the estate is to be divided among the 
    children, with the male getting the share of two females, because Allah says 
    (interpretation of the meaning): “Allaah commands 
    you as regards your children’s (inheritance): to the male, a portion equal 
    to that of two females” [al-Nisa’ 4:11]. So the 
    remainder should be divided into nine parts, of which each son takes two and 
    each daughter takes one. 

    Secondly: 

    After dividing the estate in the manner described above, the 
    mother’s share, which is one-sixth, should be taken and distributed to her 
    heirs who are, according to what is stated in the question, the brothers and 
    sisters of the deceased who are her children. So it should be distributed 
    among them with each male getting the share of two females. 

    As for the share of the wife, it is one-eighth, so it should be distributed among her sons and daughters, with each male getting the share of two females, if she did not have any other heirs such as a father or mother. 

    And Allah knows best.