Where does “doulant” come from?

doulant (French) comes from French douloir, from Old French doloir, from Latin dolēre, from Latin doleō, from Proto-Italic doleō, from Proto-Indo-European dolh₁éyeti, from Proto-Indo-European delh₁- — to split, divide.

Ancestry of “doulant”, step by step

Step	Language	Word	Meaning
1	French	douloir	to suffer
2	Old French	doloir	to suffer; to inflict pain or suffering
3	Latin	dolēre	—
4	Latin	doleō	to hurt, suffer (physical pain)
5	Proto-Italic	doleō	hurt, cause pain
6	Proto-Indo-European	dolh₁éyeti	divide
7	Proto-Indo-European	delh₁-	to split, divide

Every word from Proto-Indo-European delh₁- →Every word from Proto-Indo-European dolh₁éyeti →Every word from Proto-Italic doleō →