The lateral terminal branch (external or tarsal branch) passes across the tarsus

Tarsus (skeleton)

In tetrapods, the tarsus is a cluster of articulating bones in each foot situated between the lower end of tibia and fibula of the lower leg and the metatarsus. In the foot the tarsus articulates with the bones of the metatarsus, which in turn articulate with the bones of the individual toes...

, beneath the extensor digitorum brevis, and, having become enlarged like the dorsal interosseous nerve at the ankle, supplies the extensor digitorum brevis.

From the enlargement three minute interosseous branches are given off, which supply the tarsal

Tarsus (skeleton)

In tetrapods, the tarsus is a cluster of articulating bones in each foot situated between the lower end of tibia and fibula of the lower leg and the metatarsus. In the foot the tarsus articulates with the bones of the metatarsus, which in turn articulate with the bones of the individual toes...

 joints and the metatarsophalangeal joints of the second, third, and fourth toes.

The first of these sends a filament to the second interosseus dorsalis muscle.

It runs with the lateral tarsal artery

Lateral tarsal artery

The lateral tarsal artery arises from the dorsalis pedis, as that vessel crosses the navicular bone; it passes in an arched direction lateralward, lying upon the tarsal bones, and covered by the Extensor digitorum brevis; it supplies this muscle and the articulations of the tarsus, and anastomoses...

.