How is the estate of a deceased man to be divided among nine daughters, a wife, and a full sister, given that there is an unspecified bequest for the house, that zakat was not paid from his wealth, and that he did not perform Hajj despite being able to?

The obligatory Zakat (definition) that was due upon the deceased and not paid must be disbursed from the estate before its distribution. The same applies to the obligatory Hajj; if the deceased was able to perform Hajj but did not, then an amount sufficient for Hajj on his behalf should be taken from the estate. As for his bequest to leave a portion of money for the house, this is a bequest to an heir, and it is not enforceable unless all adult, sane heirs consent to it. If they consent but the deceased did not specify the amount of money, then its estimation is left to the heirs. After deducting the Zakat, the cost of Hajj, and the bequest (if the heirs ratify it), the remaining money is divided as follows: the wife receives one-eighth due to the existence of a lineal descendant, the daughters receive two-thirds divided equally among them, and the remainder goes to the full sister by ta’sib (residuary heirship). The estate is divided into 216 shares: 27 for the wife, 144 for the daughters (16 for each), and 45 for the full sister.