What is the share of each heir from the deceased's inheritance, and what is the ruling on his not performing Hajj despite being able to?

If a Muslim dies without having performed the obligatory Hajj despite being capable, the heirs must expend from his estate the cost of Hajj on behalf of the deceased before dividing the inheritance, based on the Almighty's saying: "after any legacy he may have bequeathed or debt." After deducting the Hajj expenses, the estate is divided according to Islamic law. The wife receives one-eighth due to the existence of a direct descendant, as the Almighty says: "But if you have a child, then for them is one eighth of what you leave, after any bequest you [may have] made or debt." The remainder goes to the sons and daughters by way of ta'sib (residuary heirship), with the male receiving the share of two females, as the Almighty says: "Allah instructs you concerning your children: for the male, what is equal to the share of two females." The grandsons receive nothing because they are excluded by the deceased's direct son.