Find the Division Remainder of a Number

Find the division remainder of a number

you are looking for the modulo operator:

a % b

for example:

>>> 26 % 7
5

Of course, maybe they wanted you to implement it yourself, which wouldn't be too difficult either.

How to find the remainder of a division in C?

You can use the % operator to find the remainder of a division, and compare the result with 0.

Example:

if (number % divisor == 0)
{
//code for perfect divisor
}
else
{
//the number doesn't divide perfectly by divisor
}

Java Remainder of Integer Divison?

If you are looking for the mathematical modulo operation you could use

int x = -22;
int y = 24;
System.out.println(Math.floorMod(x, y));

If you are not interested in the mathematical modulo (just the remainder) then you could use

int x = -22;
int y = 24;
System.out.println(x%y);

How to perform an integer division, and separately get the remainder, in JavaScript?

For some number y and some divisor x compute the quotient (quotient)[1] and remainder (remainder) as:

const quotient = Math.floor(y/x);
const remainder = y % x;

Example:

const quotient = Math.floor(13/3); // => 4 => the times 3 fits into 13  
const remainder = 13 % 3; // => 1

[1] The integer number resulting from the division of one number by another

Getting Floor Division and Remainder at same time in 2 separate variables

Use this. this will help you.

a,b = divmod(10,2)

it will return both value

Understanding The Modulus Operator %

(This explanation is only for positive numbers since it depends on the language otherwise)

Definition

The Modulus is the remainder of the euclidean division of one number by another. % is called the modulo operation.

For instance, 9 divided by 4 equals 2 but it remains 1. Here, 9 / 4 = 2 and 9 % 4 = 1.

Euclidean Division

In your example: 5 divided by 7 gives 0 but it remains 5 (5 % 7 == 5).

Calculation

The modulo operation can be calculated using this equation:

a % b = a - floor(a / b) * b
  • floor(a / b) represents the number of times you can divide a by b
  • floor(a / b) * b is the amount that was successfully shared entirely
  • The total (a) minus what was shared equals the remainder of the division

Applied to the last example, this gives:

5 % 7 = 5 - floor(5 / 7) * 7 = 5

Modular Arithmetic

That said, your intuition was that it could be -2 and not 5. Actually, in modular arithmetic, -2 = 5 (mod 7) because it exists k in Z such that 7k - 2 = 5.

You may not have learned modular arithmetic, but you have probably used angles and know that -90° is the same as 270° because it is modulo 360. It's similar, it wraps! So take a circle, and say that its perimeter is 7. Then you read where is 5. And if you try with 10, it should be at 3 because 10 % 7 is 3.

How to find the remainder of a division in python?

Simple math does the trick:

h = int(input())
print(k % h)

Get remainder only from a division using PHP

Please try it-

  $tempMod = (float)($x / $y);
$tempMod = ($tempMod - (int)$tempMod)*$y;

The remainder obtained from division of negative number

You can write -4 = -2 * 3 + 2, or you can write -4 = -1 * 3 - 1. Both are meaningful in different ways, and both are used by different languages. The option Java chooses is for the sign of the remainder to match the sign of the left hand operand to division and modulo (the dividend). Since -4 is negative, the remainder -1 is chosen.

You can read more about the details in JLS section 15.17.3:

... the result of the remainder operation can be negative only if the dividend is negative, and can be positive only if the dividend is positive. Moreover, the magnitude of the result is always less than the magnitude of the divisor.

Java - get the quotient and remainder in the same step?

The natural behaviour of all architectures is for the divide instructions to supply the quotient and remainder in separate registers (for binary) or storage areas (for packed decimal as found on the IBM zSeries). The only high level language that I know of that does the same is COBOL. It does always seem wasteful having to repeat the divide instruction again to get the remainder.



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