As far as I know, the only unabridged English translation of the Skanda Purana is the translation published by Motilal Banarsidass, which you can read here. As you can see from the Table of Contents here, it is divided into seven Khandas or sections: the Maheshwara Khanda, the Vaishnava Khanda, the Brahma Khanda, the Kashi Khanda, the Avanti Khanda, Nagara Khanda, and the Prabhasa Khanda. But as this Wikipedia page describes, there's another way to divide the Skanda Purana:
The second type of division of the Skanda Purana is found in some texts like Hālasyamāhātmya of the Agastya Saṁhitā or the Śaṁkarī Saṁhitā, Sambhava Kāṇḍa of the Śaṁkarī Saṁhitā, Śivamāhātmya Khaṇḍa of the Sūta Saṁhitā and Kālikā Khaṇḍa of the Sanatkumāra Saṁhitā. According to these texts, the Skanda Purana consists of six saṁhitās (sections):
- the Sanatkumāra Saṁhitā
- the Sūta Saṁhitā
- the Śaṁkarī Saṁhitā
- the Vaiṣṇavī Saṁhitā
- the Brāhmī Saṁhitā and
- the Saura Saṁhitā
The manuscripts of the Sanatkumāra Saṁhitā, the Śaṁkarī Saṁhitā, the Sūta Saṁhitā and the Saura Saṁhitā are extant. A manuscript of a commentary on the Sūta Saṁhitā by Madhavācārya is also available.
So my question is, what is the correspondence between the Khandas and Samhitas of the Skanda Purana? Since there are seven Khandas but only six Samhitas, the average length of a Samhita should be greater than the average length of a Khanda, so at least some of the Samhitas should contain chapters from multiple Khandas.
The reason I ask is because in this question I'm trying to find the scriptural basis for Shiva's incarnation Dakshinamurthi. This forum post claims that Adi Shankaracharya based his Dakshinamurthi Stotram on the Suta Samhita of the Skanda Purana. So are there any sources that list exactly what chapters of each Khanda belong to each Samhita
Or failing that, is there any English translation of the Skanda Purana which is divided into Samhitas rather than Khandas? Wikipedia says that there's a manuscript of the Suta Samhita, as well as a manuscript of a commentary on it. But have either of those manuscripts been translated into English?