Better take a Fatwa through Your jurisdiction mufti sahab regarding distribution of property as per Shariah law. 

Daughters get half of brother share.

Wife gets 1/8th share and if no child than half. Sister who don`t have, half husband will get , rest her brothers family equally.

 Father’s unmarried brother share will distribute in his brother`s children. 

Are you a Sunni or Shia Muslim?

the rules are different for both schools of Muslim Personal law

as the deceased's uncle's 5 brothers and one sister died before him, the only heir who would be entitled to his estate would be his surviving sister (who is a collateral)- she inherits both as a sharer as well as a residuary 

I assume your case pertains to Sunni law

thus your living aunt will take entire estate of your late uncle who died a bachelor 

i assume your grandparents (from father's side) also died prior to your youngest uncle 

All the legal heirs men will get equal share and woman who are married will get half of what men will get.  It will be percapita distribution. Love

Ok

I mistakenly took that one of your aunt is living

As per Sunni intestate law the legal heirs of a Muslim are divided into 3 classes known as

Sharers (there are 12 sharers) 

Residuaries

Distant kindred

Its a very complicated distribution as there are many rules to be considered 

I will reply tomorrow after checking the Sunni Inheritance law

Also in Muslim Sharia law the shares of the legal heirs are fixed and there is no equal division between the survivors. That is each legal heir is entitled to a fixed percentage in the estate. 

Its not a simple distribution between the siblings of the deceased uncle

You have informed about the collaterals ie brothers and sisters and their descendants, but you have not informed about the parents of your uncle, because if any of them is alive, then entire distribution changes 

Dear Sir,

The following information may kindly be read:

Muslim inheritance law and passing of deceased brother’s property to surviving brother

After death, all the expenses are deducted from the property of a Muslim and whatever is left passes for inheritance. There is no distinction for inheritance purposes between movable and immovable property.  Among Muslims, there is no difference between personal and inherited property.

Muslim inheritance law does not recognize the principle of representation. 

• Suppose, A has two sons B, and C.
• B has 2 sons while C has 4 sons.
• B dies before A.
• The property of A will only pass on to C and his 4 sons. This is applicable to both Shia and Sunni law.
• In India, the rules that govern inheritance under the Muslim law In cases of nNon testamentary succession is the Muslim Personal Law (Shariat) Application Act, 1937, whereas, when one who has created his will before death, the inheritance is governed under the relevant Muslim Sharia Law as applicable to the Shias and the Sunnis.

Share of brother in deceased brother’s property

Under Quran and Sharia law, the following are the prescribed shares which pass after the death of a male. Father, mother, son, daughter and spouse get a confirmed share. Rest depends upon the residue of what amount of property is left and the relatives alive to inherit.

(Everything mentioned is from the perspective of deceased person)

Son’s share: Son is the next head after the deceased.

Wife’s share: in case wife is left with no children she gets ¼ and if with children ⅛. It is confirmed share.

Husband’s share: ½ in case when the wife dies with no child/children. ¼ when dies with children.

Daughter’s share: Only in the case when there is no son. Half in the case daughter is unmarried.

Father’s share: ⅙ share if children are alive. Father is very powerful. If after calculating, everything left can go to father. Father can block brother.

Mother’s share: ⅓, but if deceased have children it gets reduced.

Granddaughter’s share: Granddaughter is given a share only in the absence of son and daughters. 

Grandfather’s share: Only is father is not alive.  Not as powerful as father. ⅙ prescribed share.

Grandmother: Only in the absence of mother and father.  Both father’s and mother’s side. Prescribed share is ⅙

Sister’s share: If only one sister she gets ½ if multiple they share from the 2/3 on the condition that there should be no daughter or granddaughter and also the absence of brother is required. The absence of father and grandfather is also necessary.

After giving of the inheritance to all the ‘prescribed relatives’, fractions left out are given to these relatives depending upon priority first basis.

First priority is given to son and daughter, then Grandson and Granddaughter, then Father and then comes Brother and Sisters. Therefore, brother in nowhere given priority in the deceased property. Only in the residual property lies Brother’s share.

Sisters share will half of bother share in uncles`s portion.

And deceased uncle share will distribute in his children i.e. from one part.

1.  You have not mentioned whose property it is ? i.e., whether it was yor father's property or his father's property.

Details of inheritance in Islamic law. Inheritance is considered as an integral part of Shariah Law. Muslims inherit from one another as stated in the Qur'an. Hence, there is a legal share for relatives of the decedent in his estate and property.

When a Muslim dies there are four duties which need to be performed. They are:

1. Pay funeral and burial expenses.
2. Paying debts of the deceased.
3. Determine the value / will of the deceased (which can only be a maximum of one third of the property).
4. Distribute the remainder of estate and property to the relatives of the deceased according to Shariah Law.

Therefore, it is necessary to determine the relatives of the deceased who are entitled to inherit, and their shares.

Heirs referred to as primary heirs are always entitled to a share of the inheritance, they are never totally excluded. These primary heirs consist of the spouse relic, both parents, the son and the daughter.

In general circumstances, though not all, Islam allots women half the share of inheritance available to men who have the same degree of relation to the decedent. For example, where the decedent has both male and female children, a son's share is double that of a daughter's.

2. If that aunt is living then she will be entitled to her legitimate share in the property.

3. No.

If the sisters are living then their children will not be entitled to any share.

It is similar in the case of the living brothers that their children will not be entitled to any share during the lifetime of their father.