Dr. Schulte is the principal of Harding High School.
In Big Brother is Watching, he tries to cover up a cheating scandal in order to preserve Harding's status as the school with the highest GPA in the district. In Double Date, he gives a speech thanking Alex P. Keaton for being chairman of the prom committee and inviting him and his date to begin the last dance of the prom, which is how Rachel Miller and Jocelyn Clark find out that Alex is two-timing them.
He has been known to force teachers who get on his bad side to teach sex ed to kids with behavioral problems.
As of Fool for Love, Dr. Schulte seems to have been replaced by Mr. Bidney. However, he appears again in Paper Chase at Mallory Keaton's high school graduation.