The long-term unemployed—those out of work more than six months—made up 39.1% of all job seekers in December, according to the Labor Department, the first time that figure has dropped below 40% in more than three years.

The problem is far from solved. Nearly 4.8 million Americans have been out of work for more than six months, down from a peak of more than 6.5 million in 2010 but still a level without precedent since World War II…

More recently, however, unemployment has fallen more quickly among the long-term jobless than among the broader population. In the past year, the number of long-term unemployed workers has dropped by 830,000, accounting for nearly the entire 843,000-person drop in overall joblessness.