逛街 literally means 'to stroll the streets' but is the standard Chinese expression for 'to go shopping' — even if you end up in a mall, not on a street.
memory
The 辶 (walk) radical + 狂 (wild/crazy) = wandering around in a carefree, slightly wild way — browsing without a clear destination.
Outer motion radical (left-bottom wrap form of 辵) — the indexing radical, signalling movement from place to place. 辶 anchors a verb-of-motion family: 走 (go), 进 (enter), 边 (side), 远 (far), 道 (road), all using this same wrap-around walking marker.
Inner 狂 supplies the sound (kuáng → guàng, tone and aspiration drift in the same kw-/gw- family) and a flavor of unconstrained wandering. Together with the motion radical: walking around in a carefree, slightly aimless way — exactly browsing or strolling without a fixed destination.