Where does “поучиться” come from?

поучиться (Russian) comes from Russian поучи́ть, from Russian учи́ть, from Old East Slavic учити, from Proto-Slavic učiti, from Proto-Balto-Slavic auˀkīˀtei, from Proto-Indo-European h₁owk-éye-ti, from Proto-Indo-European h₁ewk- — to be accustomed; to become accustomed; be...

поучиться (Russian): to study for awhile; to learn for awhile; passive...

Definitions

to study for awhile; to learn for awhile; passive...

Ancestry of “поучиться”, step by step

Step	Language	Word	Meaning
1	Russian	поучи́ть	to teach for a while
2	Russian	учи́ть	to teach; to learn
3	Old East Slavic	учити	—
4	Proto-Slavic	učiti	to teach
5	Proto-Balto-Slavic	auˀkīˀtei	—
6	Proto-Indo-European	h₁owk-éye-ti	—
7	Proto-Indo-European	h₁ewk-	to be accustomed; to become accustomed; be...

Every word from Proto-Indo-European h₁ewk- →Every word from Proto-Indo-European h₁owk-éye-ti →Every word from Proto-Balto-Slavic auˀkīˀtei →