# BigInteger.Remainder(BigInteger, BigInteger) Method

## Definition

Performs integer division on two BigInteger values and returns the remainder.

``````public:
static System::Numerics::BigInteger Remainder(System::Numerics::BigInteger dividend, System::Numerics::BigInteger divisor);``````
``public static System.Numerics.BigInteger Remainder (System.Numerics.BigInteger dividend, System.Numerics.BigInteger divisor);``
``static member Remainder : System.Numerics.BigInteger * System.Numerics.BigInteger -> System.Numerics.BigInteger``
``Public Shared Function Remainder (dividend As BigInteger, divisor As BigInteger) As BigInteger``

#### Parameters

dividend
BigInteger

The value to be divided.

divisor
BigInteger

The value to divide by.

#### Returns

The remainder after dividing `dividend` by `divisor`.

#### Exceptions

`divisor` is 0 (zero).

## Examples

The following example compares the remainder from the DivRem method with the remainder returned by the Remainder method to establish that the two methods calculate identical remainders.

``````using System;
using System.Numerics;

public class Example
{
public static void Main()
{
BigInteger dividend1 = BigInteger.Pow(Int64.MaxValue, 3);
BigInteger dividend2 = dividend1 * BigInteger.MinusOne;
BigInteger divisor1 = Int32.MaxValue;
BigInteger divisor2 = divisor1 * BigInteger.MinusOne;
BigInteger remainder1, remainder2;
BigInteger divRem1 = BigInteger.Zero;
BigInteger divRem2 = BigInteger.Zero;

remainder1 = BigInteger.Remainder(dividend1, divisor1);
remainder2 = BigInteger.Remainder(dividend2, divisor1);

BigInteger.DivRem(dividend1, divisor1, out divRem1);
Console.WriteLine("BigInteger.Remainder({0}, {1}) = {2}",
dividend1, divisor1, remainder1);
Console.WriteLine("BigInteger.DivRem({0}, {1}) = {2}",
dividend1, divisor1, divRem1);
if (remainder1.Equals(divRem1))
Console.WriteLine("The remainders are equal.\n");

BigInteger.DivRem(dividend2, divisor2, out divRem2);
Console.WriteLine("BigInteger.Remainder({0}, {1}) = {2}",
dividend2, divisor2, remainder2);
Console.WriteLine("BigInteger.DivRem({0}, {1}) = {2}",
dividend2, divisor2, divRem2);
if (remainder2.Equals(divRem2))
Console.WriteLine("The remainders are equal.\n");
}
}
// The example displays the following output:
//    BigInteger.Remainder(784637716923335095224261902710254454442933591094742482943, 2147483647) = 1
//    BigInteger.DivRem(784637716923335095224261902710254454442933591094742482943, 2147483647) = 1
//    The remainders are equal.
//
//    BigInteger.Remainder(-784637716923335095224261902710254454442933591094742482943, -2147483647) = -1
//    BigInteger.DivRem(-784637716923335095224261902710254454442933591094742482943, -2147483647) = -1
//    The remainders are equal.
``````
``````Imports System.Numerics

Module Example
Public Sub Main()
Dim dividend1 As BigInteger = BigInteger.Pow(Int64.MaxValue, 3)
Dim dividend2 As BigInteger = dividend1 * BigInteger.MinusOne
Dim divisor1 As BigInteger = Int32.MaxValue
Dim divisor2 As BigInteger = divisor1 * BigInteger.MinusOne
Dim remainder1, remainder2 As BigInteger
Dim divRem1 As BigInteger = BigInteger.Zero
Dim divRem2 As BigInteger = BigInteger.Zero

remainder1 = BigInteger.Remainder(dividend1, divisor1)
remainder2 = BigInteger.Remainder(dividend2, divisor1)

BigInteger.DivRem(dividend1, divisor1, divRem1)
Console.WriteLine("BigInteger.Remainder({0}, {1}) = {2}",
dividend1, divisor1, remainder1)
Console.WriteLine("BigInteger.DivRem({0}, {1}) = {2}",
dividend1, divisor1, divRem1)
If remainder1.Equals(divRem1) Then Console.WriteLine("The remainders are equal.")
Console.WriteLine()

BigInteger.DivRem(dividend2, divisor2, divRem2)
Console.WriteLine("BigInteger.Remainder({0}, {1}) = {2}",
dividend2, divisor2, remainder2)
Console.WriteLine("BigInteger.DivRem({0}, {1}) = {2}",
dividend2, divisor2, divRem2)
If remainder2.Equals(divRem2) Then Console.WriteLine("The remainders are equal.")
Console.WriteLine()
End Sub
End Module
' The example displays the following output:
'    BigInteger.Remainder(784637716923335095224261902710254454442933591094742482943, 2147483647) = 1
'    BigInteger.DivRem(784637716923335095224261902710254454442933591094742482943, 2147483647) = 1
'    The remainders are equal.
'
'    BigInteger.Remainder(-784637716923335095224261902710254454442933591094742482943, -2147483647) = -1
'    BigInteger.DivRem(-784637716923335095224261902710254454442933591094742482943, -2147483647) = -1
'    The remainders are equal.
``````

## Remarks

The sign of the remainder is the sign of the `dividend` parameter.

The Remainder method is implemented for languages that do not support custom operators. Its behavior is identical to division using the modulus operator.

If necessary, the method automatically performs implicit conversion of other integral types to BigInteger objects before it performs the modulus operation.