This is the algorithm in which randomly generated numbers are used with the help of modulus and remainder by making program in any language i.e. c, c++ and java. Carefully, using these modulus & remainder for getting a new method for encrypting and decrypting the message. Though complex encryption techniques have been employed in safeguarding data. Three or more keys can also be used to make the enciphering process more complicated. In this paper, the authors provide with an encryption decryption algorithm with secure strength, bringing failure to the intruder effort to break the cipher.