In 1986 he debuted with the Israel national basketball team at the World Championship and finished it with 4 points in 2 games.
In addition, he three times in a row played with Hapoel in the Israeli championship finals, twice losing to Maccabi Tel Aviv B.C.
[6] After playing the 1994/1995 season with Hapoel Holon Steinhauer signed a 3-year contract with the leaders of Israeli basketball - Maccabi Tel Aviv.
Next two years the Tel Aviv club kept paying Steinhauer his salary, thus allowing him to joke that his dreams came true: he gets paid by Maccabi for playing against them.
[5] Steinhauer's last season with Ra'anana he once again finished as the national championship finalist, again losing to Tel Aviv.
[3][8] According to Steinhauer's own words, he was not interested in a business career following retirement because he is averse to financial risk and has enough money from his playing years to afford living in Kiryat Tiv'on.