As a freshman in 1918, he helped lead Michigan to an undefeated season and retroactive national championship and was selected by Walter Camp as a first-team player on the 1918 College Football All-America Team.

While at Michigan, he was a member of Alpha Delta Phi, Michigamua, and the Sphinx and was chosen president of the freshman class during the 1918–1919 academic year.

In February 1919, he registered one of the highest physical fitness scores ever recorded in testing performed by the university.

[9] He was a member of Michigan's first swimming team, swam the 20-yard freestyle event in 9-3/5 seconds, and was also a skilled diver.

In a season shortened to five games due to the 1918 flu pandemic and war-related travel restrictions, the Wolverines compiled a perfect 5–0 record and have been recognized retroactively as national champions.

[16] The Syracuse Herald reported: "One man stood out in the Michigan triumph, Steketee of Grand Rapids.

He made the entire 15 points scored by his team and otherwise mussed up perfect good intentions on the part of the visitors.

The game was scoreless in the fourth quarter when Steketee kicked a 73-yard punt that pinned Ohio State at its two-yard line.

[17] Steketee also threw a touchdown pass to end Robert Dunne from Ohio State's 12-yard line and kicked two extra points.

[18] At the end of the 1918 season, Steketee was selected as a first-team halfback on the 1918 All-Big Ten Conference football team.

"[25] One wire service account noted: "Frank Steketee, a member of the 1918 team, and who was given the position of fullback on Walter Camp's All-American eleven, will be back on the line-plunging job this year.

[26] In the 1920 Illinois game, Michigan lost, 7–6, as a 50-yard place kick by Steketee with a few minutes left missed "by a few inches.

However, an Ohio newspaper account noted that, despite the loss, "Steketee was the offensive star for the Wolverines, his 26-yard gain around right end in the first quarter being the most spectacular run of the game.

[30] As a senior, Steketee started three games at fullback and two at halfback, as the 1921 Wolverines improved to a 5–1–1 record and outscored their opponents, 187–21.

"[32] After losing to Ohio State, 14–0, Michigan rebounded the following week to defeat Illinois, 3–0, on a placement kick by Steketee.

[22][40] After being discharged from the military, Steketee worked as an account examiner for the finance division of the Michigan Department of Highways for seven years from approximately 1944 until his death in 1951.

[37] On the day after Christmas in 1951, Steketee collapsed shortly before noon at his desk in the state highway department headquarters.