Little by little

мало-помалу, понемногу, постепенно Например: Athelny was very communicative, and little by little Philip learned the various stages of his life. (W. S. Maugham, Of Human Bondage, ch. 89) — Ателни был очень словоохотлив, и Филип понемногу узнал все злоключения его жизни.

Англо-русский фразеологический словарь

Little by little

adverb by small degrees or amounts; gradually

Merriam-Webster's Collegiate Dictionary