preostati

1. to remain; to be left
   Preostalo nam je još samo pet minuta. — We only have five minutes left.
   Od plate mi je preostalo malo novca. — I had a little money left from my salary.
2. (impersonal, ne preostati + dat. + nego) to have no choice but
   Nije mi preostalo ništa drugo nego da čekam. — I had no choice but to wait.
   Preostalo mu je samo da se izvini. — All he could do was apologize.

The person who has something left is in the dative: preostalo mi je. The imperfective is preostajati (ne preostaje mi ništa drugo).