Dodge was platted in 1886 when the Fremont, Elkhorn and Missouri Valley Railroad was extended to that point.

[7] According to the United States Census Bureau, the village has a total area of 0.40 square miles (1.04 km2), all land.

[8] This climatic region is typified by large seasonal temperature differences, with warm to hot (and often humid) summers and cold (sometimes severely cold) winters.

There were 289 housing units at an average density of 722.5 per square mile (279.0/km2).

35.4% of all households were made up of individuals, and 19.1% had someone living alone who was 65 years of age or older.

There were 300 housing units at an average density of 753.7 per square mile (291.0/km2).

29.6% of all households were made up of individuals, and 18.1% had someone living alone who was 65 years of age or older.