# Division and Modulus Calculator

Divide Numbers by Fractions, Integers and Decimals. Find Remainder, Modulus and Quotient after division

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Divide By

You can input in any of the fields and get equivalent values.

Number 1 (Dividend)

/

Number 2 (Divisor)

Result of -8 / 6 is

-1.333333

Quotient: -2

Remainder: -2

Modulo: 4

## Division Table

Input Result Quotient Remainder Modulo
0 divided by 5 0 0 0 0
1 divided by 2 0.5 0 1 1
-1 divided by 2 -0.5 -1 -1 1
1 divided by -5 -0.2 -1 1 -4
5 divided by 3 1.7 1 2 2
-5 divided by 3 -1.7 -2 -2 1
5 divided by -3 -1.7 -2 2 -1
-5 divided by -3 1.7 1 -2 -2
12 divided by 4 3 3 0 0
15 divided by 2 7.5 7 1 1
21 divided by 4 5.25 5 1 1
-21 divided by 4 -5.25 -6 -1 3
21 divided by -4 -5.25 -6 1 3
-21 divided by -4 5.25 5 -1 -1
26 divided by 2 13 13 0 0
28 divided by 7 4 4 0 0
33 divided by 3 11 11 0 0
-33 divided by 3 -11 -11 0 -3
100 divided by -4 -25 -25 0 -4
100 divided by 7 14.3 14 2 2
100 divided by 15 6.7 6 10 10

## Modulo Table

Input Result
modulo 0 No Result
1 modulo 0 No Result
modulo2 ( 1 mod 2) 1
1 modulo 4 1
1 modulo 16 1
1 modulo 20 1
modulo 26 (1 mod 26) 1
modulo 2 0 (2 / 0) No Result
3 modulo 4 3
4 modulo 5 4
5 modulo ( 1 mod 5) 1
5 modulo 5 0
5 modulo 9 5
6 modulo 7 6
7 modulo 0
8 modulo 0
10 modulo 10 0
10 modulo 0
modulo 25 1
modulo 30 1
modulo 32 1
50 modulo 2 0
60 modulo 60 0
120 modulo 60 0
modulo 128 1

## What is a Quotient , Modulo and Remainder?

• Quotient is the output that we get when a number is divided by another number

• Quotient is always a whole number irrespective of whether the 2 numbers divide perfectly or not.

• The symbol used for getting quotient is /

• The first number which is getting divided in the numerator is called the 'dividend'.

• The number that is dividing and in the denominator is called the divisor.

• Remainder is the number that is left over after the division of the 2 numbers.

• Modulo is same as Remainder if both the numbers (dividend and divisor ) are both positive or both negative.

• Modulo symbol is %. For example 5 mod 2 is 1 and 6 mod 3 is 0

• Modulo is different when either dividend or divisor is of different sign. If either dividend or divisor is -ve, then this equation holds good
Modulo = Remainder + Divisor

• Modulo takes the same sign as the divisor. Remainder takes the sign of dividend

• When we use % with any programming language such as javascript or c++ or python, what we get as result is remainder and not modulo. This becomes obvious only if numerator or denominator either one of them is -ve.

• Both Numerator and Denominator is +ve

• Number 1 = 8 (dividend)

Number 2 = 5 (divisor)

Quotient = 8 / 5 = 1 (with left over as 3)

Remainder = 3

Modulo = 8% 5 = 3

• Numerator is -ve and Denominator is +ve

• Number 1 = -8

Number 2 = 5

Quotient = -8 / 5 = -2

Remainder = -3

Modulo = -8 % 5 = 2

• Numerator is +ve and Denominator is -ve

• Number 1 = 8

Number 2 = -5

Quotient = 8 / -5 = -2

Remainder = 3

Modulo = 8 % -5 = -2

• Both Numerator and Denominator is -ve

• Number 1 = -8

Number 2 = -5

Quotient = -8 / -5 = 2

Remainder = -3

Modulo = -8 % -5 = -3