An [slightly edited] email I received regarding this post.
Notwithstanding the misleading phrasing of a fair percentage of the news sources I looked it up on:
The number of couples that actually divorced in Israel in 2012 was 10,694. (INN, JPost, Israel HaYom... in fact pretty much every news source I checked.)
And I'm becoming increasingly confident that 88,055 is the total number of cases of any sort opened with the בית דין, not only divorce cases. (Data: Ambiguous/does not state "divorce" cases when using this stat: JPost. Others who use that number explicitly state otherwise; for instance: "In 2012, some 88,055 new cases were opened in rabbinical courts, up from 80,636 in 2011. Of these cases, 9,045 involved divorce issues, 4,237 involved clarifications of religious status and 3,640 involved inheritance issues." [Israel haYom]
And it's more than double the number of couples married in a single year (35,887 in 2010 according to Haaretz), so I suspect (strongly, but not absolutely) that whichever news source the rav read this on had misinterpreted the report from the Rabbinical Courts Administration.
End of email
I saw the statistic on the news site Kikar Shabbat. Whatever the correct statistics are - even one divorce is too many.
I thank the sender very much:).