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Euclidean Division

Tool to make an euclidean division automatically. Euclidean division is an arithmetical operation which associates to two numbers: the dividend and the divisor, two others numbers resulting from the division operation : the quotient and the remainder.

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Euclidean Division -

Tag(s) : Cryptography,Substitution Cipher

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# Euclidean Division

## Euclidean Division A/B

Tool to make an euclidean division automatically. Euclidean division is an arithmetical operation which associates to two numbers: the dividend and the divisor, two others numbers resulting from the division operation : the quotient and the remainder.

### How to calculate the quotient of the euclidean division?

Quotient q is the integer part of the division a/b

### How to calculate the remainder of the euclidean division?

Rest is the result of $$r=a-q*b$$

### How to make the remainder a positive value?

Subtract 1 to the quotient and add it to the negative remainder.

If A=15, B=4, then ou can say Q=4, R=-1 because B*Q+R=4*4-1=15=A.

You can also take Q=(4-1)=3 and then have R = 3 (positive) and B*Q+R=4*3+3=15=A

### Why the name Euclidean Division?

The name comes from Euclid, a mathematician.

### What are the limits of this software?

This software is not limited, it can calculated with any number, including big numbers with arbitrary precision