To move on foot, unhurried. Also to traverse a structure node by node — both take the whole path rather than jumping.
Old English wealcan (to roll, toss, wander), narrowed to the steady movement of feet on a path, and lent itself to any orderly traversal taken whole rather than jumped.
To move on foot, unhurried, or to traverse a structure one node at a time, both take the whole path rather than jumping across it.