This from the Office of Court Administration, divorce filings in Texas account for 89% of all cases filed in the District Courts. In the fiscal year 2014, there were 111,409 divorces filed in Texas district courts out of a total of 125,588. Overall, the divorce rate per 1,000 people was 4.7 (meaning 4 or 5 people out of 1,000 got divorced in 2014). This statistic is down 30% over 1995 statistics, which showed 6.7 out of 1,000 people got divorced.
The Office of Court Administration is doing some good work with the memes on various court-related statistics. See more at their website.
