This modulo calculator is used to perform modular arithmetic. The mod calculator takes two numbers and divides the second into the first. It returns a quotient and a remainder. The quotient is the greatest whole number of times the second number can be divided into the first without the remainder becoming negative. The remainder is the amount left over after the division operation. Mathematically, this process is referred to as the modulo operation. This could also be called a quotient and remainder calculator.

In practical terms, you can think of this process like making change. If I went a garage sale with a twenty dollar bill and discovered a box of 8-track music tapes priced at $3 each, how many tapes could I buy and how much would be left over? In this case, I would enter a 20 in the first box of the online mod calculator (the base) and the price of the record ($3) into the second box of the mod calculator. This modulo calculator would then return a result: I can buy 6 records (the quotient) and would have $2 left over (the remainder).

Need to pass an answer to a friend? It's easy to link and share the
results of this calculator. Simply use the following format:

**http://modcalculator.com/?base=(Your Number)&divi=(Your Other Number)**

The modulo calculator uses various computer libraries to execute this efficiently. The pen and paper solution is to repeatedly subtract the divisor from the base number until the remainder is less than the divisor. In many cases, this process is accelerated with lookup tables. The modulo calculation is of keen interest to researchers due to its role in many important computing processes.

Here is how to how to calculate modulus. The modulo operation finds the remainder after division of one number by another . For two positive numbers, a (the dividend) and n (the divisor), a modulo n (often written as as a mod n) is the remainder of the Euclidean division of a by n.

An algebraic implementation of the modulo operation where you can map numbers into the alphabet. You take a number, convert it into base 26 math and map the values into letters. This allows you to compress / encode the message as a text string. This is theoretically encryption but is a fairly weak form of encryptions by the standards of modern technology.

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