The British East India Company made its first appearance in India during the early 17th century. Here is a detailed explanation of how and when the company set foot in India:

The Initial Arrival:
The British East India Company, commonly known as the East India Company, was granted a Royal Charter by Queen Elizabeth I in 1600. The primary objective of the company was to engage in trade with the East Indies, including India. In pursuit of profitable opportunities, the company dispatched its first voyage, led by James Lancaster, to India in 1601.

The First Trading Post:
The company's first trading post was established in 1612 in Surat, a prosperous port city in the Gujarat Sultanate. This initially allowed the company to engage in the lucrative spice trade, primarily with Mughal India.

The Battle of Plassey:
The Battle of Plassey, fought on June 23, 1757, was a significant turning point in the company's presence in India. The company, under the leadership of Robert Clive, defeated the Nawab of Bengal, Siraj-ud-Daulah, securing control over the Bengal region. This victory marked the company's transition from a trading entity to a political power in India.

Expansion and Consolidation:
Following the Battle of Plassey, the East India Company rapidly expanded its influence across India through a combination of military force, political alliances, and economic exploitation. It established numerous trading posts, forts, and factories along the coast and inland, gradually extending its control over vast territories.

The Regulating Act of 1773:
In response to growing concerns over the company's unchecked power, the British Parliament passed the Regulating Act of 1773. This act aimed to regulate the company's affairs in India and establish a system of governance. It also created the office of the Governor-General of Bengal, with Warren Hastings becoming the first to hold the position.

The Charter Act of 1813:
The Charter Act of 1813 further transformed the company's role in India. It allowed for the company's monopoly on trade to be abolished, paving the way for increased British presence and influence. Missionary activities were also permitted, leading to the establishment of Christian missions across the country.

The Indian Rebellion of 1857:
The Indian Rebellion of 1857, also known as the First War of Independence, was a major revolt against British rule in India. The rebellion was triggered by various factors, including the introduction of new military practices that deeply offended Indian soldiers. The East India Company's administration was heavily criticized for its policies, resulting in the British Crown assuming direct control over India in 1858.

Conclusion:
The British East India Company set foot in India in the early 17th century, initially focusing on trade and establishing its first trading post in Surat. Through military victories, alliances, and economic exploitation, the company expanded its control over India. However, growing concerns led to regulatory acts, and the company's influence eventually culminated in direct British rule following the Indian Rebellion of 1857.