essaimer

Literally used for bees swarming — leaving the hive to found a new colony — and, just as commonly today, figuratively for a business, family, or movement branching out and spreading to new locations.

• Les abeilles essaiment généralement au printemps. — Bees generally swarm in the spring.
• L'entreprise a essaimé dans plusieurs pays d'Europe. — The company branched out into several European countries.
• Ses enfants ont essaimé aux quatre coins du pays. — Her children have scattered to every corner of the country.

The figurative business sense (to branch out, expand into new locations) is just as standard today as the literal beekeeping sense — don't assume essaimer is only about actual bees.