A Comparative Study of Vedic and Modern Method of Division Algorithm

The origin of Vedic Mathematics is still unknown, but it is believed to have developed in India around 5000 years ago. Atharva Veda, one of the four ancient Vedas, contains the idea of Vedic mathematics. But for centuries, these ideas were orally passed down through generations. In twentieth century, His Holiness, Jagadguru Sankaracharya Sri Bharati Krishna Tirthaji Maharaj rediscovered these ideas and arranged into systematic form and now it is known as Vedic mathematics. Vedic mathematics is a collection of sixteen sutras and thirteen sub-sutras. The methods used in Vedic mathematics gives strong mental calculation and fast problem-solving skill. But nowadays, we are using modern techniques to solves mathematical problems which are very systematic one. In this paper, we are discussing one of the core arithmetic operations- division and make comparison between division algorithm in Vedic mathematics and modern mathematics using three sutras Nikhilam, Paravartya Yojayet and Urdhva- Tiryakgbhyam and long division method. We also evaluate their efficiency, cognitive demand, and adaptability through detailed examples.