Division By Nine Simplified : A Vedic Math Approach

Split each dividend into a left hand part for the quotient and a single digit right hand part for the remainder and mark it by a vertical line.Always leave the first digit of the dividend for quotient's first digit.Thus in this case, the first digit of the dividend becomes the quotient and by adding quotient to the second digit we can get the remainder(sum of all digits of the dividend).

In these cases we note that remainder and the sum of the digits are still the same and that , by taking the first digit of the dividend down mechanically and adding it to the second digit of the dividend ,we get the second digit of the quotient and that by adding it to the third digit of the dividend we get the third digit of the quotient ,proceed further till the last digit .The final summation will result in the remainder.

Note:Suppose a remainder which is greater than 9 arises.Divide the remainder again and add the quotient of this remainder to the original quotient.The remainder obtained in this step would be the final remainder. If it is not greater than 9, repeat the above process.