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Until now the meanings I found were: act and enroll:
(a) Мы должны поступить осторожно
(б) Она поступила в университет

Does it means also payment?

As I understand the word поступить / поступать has many meanings. Among them: act, enroll, release, enter etc.
But I cannot thing what денежное поступление might mean based on the meaning of the verb