wanderingly
wan·der
W0024600 (wŏn′dər)These verbs mean to move about at random or without destination or purpose. Wander and ramble stress the absence of a fixed course or goal: The professor wandered down the hall lost in thought. "They would go off together, rambling along the river" (John Galsworthy).
Roam and rove emphasize freedom of movement, often over a wide area: "Herds of horses and cattle roamed at will over the plain" (George W. Cable)."For ten long years I roved about, living first in one capital, then another" (Charlotte Brontë).
Range suggests wandering in all directions: "a large hunting party known to be ranging the prairie" (Francis Parkman).
Meander suggests leisurely wandering over an irregular or winding course: "He meandered to and fro ... observing the manners and customs of Hillport society" (Arnold Bennett).
Stray refers to deviation from a proper course or area: "The camels strayed to graze on the branches of distant acacias" (Jeffrey Tayler).
Gallivant refers to wandering in search of pleasure: gallivanted all over the city during our visit. Gad suggests restlessness: gadded about unaccompanied in foreign places.