Bhāgavatam literally means the pastimes of the Lord and the Lord's devotees. For example, there are pastimes of Lord Kṛṣṇa and narrations of devotees like Prahlāda, Dhruva and Mahārāja Ambarīṣa. Both pastimes pertain to the Supreme Personality of Godhead because the devotees' pastimes are in relation with Him. The Mahābhārata, for example, the history of the Pāṇḍavas and their activities, is sacred because the Pāṇḍavas had a direct relationship with the Supreme Personality of Godhead.
(Srimad Bhagavatam----3:19:34----purport).

Therefore Lord Śrī Kṛṣṇa is the original form of the Supreme Lord (kṛṣṇas tu bhagavān svayam (S.B.1:3:28). This is also clear from this instruction. The Supreme Personality of Godhead is Lord Kṛṣṇa, and not directly Nārāyaṇa or the puruṣa-avatāras, which are subsequent manifestations. Therefore Śrīmad-Bhāgavatam means consciousness of the Supreme Personality of Godhead Lord Śrī Kṛṣṇa, and Śrīmad-Bhāgavatam is the sound representation of the Lord as much as the Bhagavad-gītā is. Thus the conclusion is that Śrīmad-Bhāgavatam is the science of the Lord in which the Lord and His abode are perfectly realized.
(Srimad Bhagavatam----2:9:37----purport).

To be fully engaged in hearing the transcendental narration described in the text of Śrīmad-Bhāgavatam means to constantly associate with the Supreme Soul, Śrī Kṛṣṇa. And to constantly associate with the Supreme Lord Kṛṣṇa means to be liberated from the qualities of matter. Lord Kṛṣṇa is like the sun, and material contamination is like darkness. As the presence of the sun dissipates darkness, constant engagement in the association of the Lord Śrī Kṛṣṇa frees one from the contamination of the material qualities. Contamination by the material qualities is the cause of repeated birth and death, and liberation from material qualities is transcendence. Mahārāja Parīkṣit was now a realized soul by this secret of liberation, through the grace of Śukadeva Gosvāmī, for the latter had informed the King that the highest perfection of life is to be in remembrance of Nārāyaṇa at the end of life. Mahārāja Parīkṣit was destined to give up his body at the end of seven days, and thus he decided to continue remembering the Lord by His association with the topics of Śrīmad-Bhāgavatam, and thus to quit his body in full consciousness of the presence of the Lord Śrī Kṛṣṇa, the Supreme Soul.
(Srimad Bhagavatam----2:8:3----purport).

Śrīmad-Bhāgavatam means everything in relationship with the Supreme Personality of Godhead. Whether we hear the pastimes and activities of the Supreme Lord or we hear about the character, reputation and activities of His devotees, they are all one and the same. Neophyte devotees simply try to understand the pastimes of the Lord and are not very interested in hearing about the activities of His devotees, but such discrimination should not be indulged in by any real devotee. Sometimes less intelligent men try to hear about the rāsa dance of Kṛṣṇa and do not take care to hear about other portions of Śrīmad-Bhāgavatam, which they completely avoid. There are professional Bhāgavata reciters who abruptly go to the rāsa-līlā chapters of Śrīmad-Bhāgavatam, as if other portions of Śrīmad-Bhāgavatam were useless. This kind of discrimination and abrupt adoption of the rāsa-līlā pastimes of the Lord is not approved by the ācāryas.
(Srimad Bhagavatam----4:12:44----purport).