Simplified method of finding the remainder and its usability in certain types of problems

Remainder theorems are very popular for finding the remainder in various types of problems. Inthis paper, we have proposed a simplified approach of finding the remainder using basicmathematics. This method is very effective in solving certain types of problems which involveexponentiation of dividend by some positive integer and those which have common factors intheir dividend and divisor. Here, we have discussed how the individual factors of the dividendcan be used to find the remainder. This method is easy to understand and leads to fasterremainder computation, using simple calculations and works very effectively for big dividends aswell. The proof of this method is given along with an example to explain its working for bothtypes of problems. The concept of negative remainder and repetitive application of thesimplified method are also discussed.References