American Williams, seeded 10th and competing in her 20th French Open, powered 22 winners and converted six of 13 break points as she picked apart the 60th-ranked Belgian in just over an hour.
Momentum appears to be building for Williams as she attempts to win a title she came closest to lifting in 2002, when she was beaten in the final by her younger sister Serena.
Williams, a seven-times grand slam singles champion who turns 37 this month, will play Switzerland's Timea Bacsinszky for a place in the quarter-finals.
(Reporting by John Stonestreet, editing by Ed Osmond)
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