"My question is how will the estate be divided up?"
*** State laws will specify distribution of an estate where a will does not exist. This is called 'intestate distribution'.
If any part of an Illinois decedent's estate is not effectively disposed of by will, the intestate share will be distributed in the following order and manner:
1. Surviving spouse. A surviving spouse is generally first in line to get any assets from the intestate estate. However, the amount a surviving spouse is entitled to varies as follows:
* A surviving spouse is entitled to the entire intestate estate if the decedent is not survived by any descendants.
* If the decedent is survived by descendants, the surviving spouse is entitled to one-half of the intestate estate (with the other half going to the descendants).
2. Heirs other than surviving spouse. Any part of the intestate estate not passing to the surviving spouse as indicated above, or the entire intestate estate if there is no surviving spouse, passes as follows to:
1. Decedent's descendants, per stirpes.
2. Decedent's parents, brothers, and sisters in equal parts. If one parent is dead, the surviving parent gets a double portion. If a brother or sister predeceases the decedent, their descendants take the predeceased sibling's share per stirpes.
3. Decedent's grandparents or their descendants. Half of the estate passes to the decedent's paternal grandparents equally if both survive, or to the surviving paternal grandparent, or to the descendants of the decedent's paternal grandparents, or either of them if both are deceased. The other half passes to the decedent's maternal relatives in the same manner. If there is no surviving grandparent or descendant of a grandparent on either the paternal or the maternal side, however, the entire estate passes to the decedent's relatives on the other side in the same manner as the half.
4. Decedent's great-grandparents or their descendants. Half of the estate passes to the decedent's paternal great-grandparents equally if both survive, or to the surviving paternal great-grandparent, or to the descendants of the decedent's paternal great-grandparents, or either of them if both are deceased. The other half passes to the decedent's maternal relatives in the same manner. If there is no surviving great-grandparent or descendant of a great-grandparent on either the paternal or the maternal side, however, the entire estate passes to the decedent's relatives on the other side in the same manner as the half.
5. Decedent's nearest kin in equal degree.
3. State of Illinois. If there is no taker under any of the above provisions, the intestate estate reverts (escheats) to the state of Illinois. Real estate in the estate generally goes to the county where the real estate is located. Personal property in the estate generally goes to the county where the decedent was a resident."
As you can see from the above, the 'great-nieces and -nephews' are not in the distribution chain.