Remington was first laid out in 1860 by Jesse H. Fordice. It was originally called Carpenter Station, after Carpenter's Creek where a railroad station had been established, around which the town grew. The name was later changed to Remington, after the founder of the general store. The main trade was in grain, as the area consisted of excellent prairie farmland; the town's position on the Pittsburgh, Chicago and St. Louis Railroad made it a good location for such trade. The first grain elevator was built in 1870 by Church and Hartley; the second was built by the Hathaway Brothers in 1872; and in 1879, James Irvin built a third. In 1883 the population was about 900.

Remington Water Tower and Town Hall was listed on the National Register of Historic Places in 2003.

Remington is located about 90 miles northwest of Indianapolis and about 90 miles southeast of Chicago. It is about a mile west of Interstate 65; U.S. Route 24 and U.S. Route 231 pass through the town. Remington is located is the EST Time Zone.

According to the 2010 census, Remington has a total area of 1.02 square miles (2.64 km²), all land.

As of the census of 2010, there were 1,185 people, 503 households, and 329 families residing in the town. The population density was 1,161.8 inhabitants per square mile (448.6/km²). There were 569 housing units at an average density of 557.8 per square mile (215.4/km²). The racial makeup of the town was 96.5% White, 0.6% African American, 0.1% Native American, 0.3% Asian, 0.1% Pacific Islander, 0.3% from other races, and 2.2% from two or more races. Hispanic or Latino of any race were 3.1% of the population.

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