I was watching a TV show and encountered this sentence (if heard correctly):
Dieses Glück scheinen an dem Abend viele zu teilen.
It is not hard to guess the overall meaning, which must be something like "Many people seem to share this happiness this evening."
But I'm having difficulty understanding the structure of this sentence. Since the verb is "scheinen" (plural), the subject should be "viele". Then what is "teilen" doing here? What is its subject and its object?