Renumbering Children

I am trying to figure out how to set up a column that would set a child's number. If the parent has 5 children then the numbering would be 1-5. If you inserted a child between 2 & 3 then that new record would become 3 and the rest would be 4-6.

I know I have to count the children but I am not sure how to identifies the records position within the order of children.

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