Detach, disengage, abstract mean to remove one thing from another with which it is in union or association.
One detaches something when one breaks a literal or figurative connection, tie, or bond and thereby isolates it or makes it independent.
One disengages something that is held by or involved with something else and thereby sets it free.
One abstracts something by withdrawing it from the place where it belongs or by separating it from a mass of like things so as to put it in another place or another relation.
It may imply an intention of shortening or of concentrating elsewhere. (See also ABSTRACT adj)