As someone once said: "There's an easy way to do something, and an unlimited number of difficult ways".Take simple division, for example:
Suppose you need to divide 43 by 9.
The answer is 4 (the first figure of 43) and
remainder is 7 (4 + 3).
Similarly 35 divided by 9 is 3 remainder 8.
In
Vedic system we use
natural properties of numbers.
The number 9 has
property that it is 1 below 10. So every 10 contains one 9 and one remainder.
Therefore, in 40, there will be 4 nines and 4 remainder. and so in 43 there must be 4 nines and 7 remainder.