A shorter account of the victory over Og, king of Bashan, occurs in Numbers 21:33-35, based on the present passage, the first person plural being changed to the third to suit the new context.
Deuteronomy 3:1-7
1 Then we turned, and went up the way to Bashan: and Og the king of Bashan came out against us, he and all his people, to battle at Edrei.
2 And the LORD said unto me, Fear him not: for I will deliver him, and all his people, and his land, into thy hand; and thou shalt do unto him as thou didst unto Sihon king of the Amorites, which dwelt at Heshbon.
3 So the LORD our God delivered into our hands Og also, the king of Bashan, and all his people: and we smote him until none was left to him remaining.
4 And we took all his cities at that time, there was not a city which we took not from them, threescore cities, all the region of Argob, the kingdom of Og in Bashan.
5 All these cities were fenced with high walls, gates, and bars; beside unwalled towns a great many.
6 And we utterly destroyed them, as we did unto Sihon king of Heshbon, utterly destroying the men, women, and children, of every city.
7 But all the cattle, and the spoil of the cities, we took for a prey to ourselves.