Is a divorced daughter's not living with her mother considered an act of disobedience (ʿuqūq), given the long distance and difficulty of transportation to her workplace?

Filial piety is an obligation, and being kind to parents is a duty, especially to the mother. If a mother needs her daughter to live with her to serve her, then it is obligatory for the daughter to do so. Otherwise, there is no sin in not living with her, provided the daughter fulfills her duties of filial piety, maintaining ties, and being kind to her.