Python math.remainder() Method

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The Python math.remainder() method is used to calculate the remainder of dividing one number by another. Mathematically it is denoted as −

remainder(x, y) = x − y × ⌊x/y⌋

Where, x is the dividend, y is the divisor, and ⌊.⌋ denotes the floor method, returning the largest integer less than or equal to the argument. For example, if you have "x = 10.5" and "y = 3.0", then "math.remainder(10.5, 3.0)" will calculate the remainder as 10.5 − 3.0 × ⌊10.5/3.0⌋ = 1.5.

Syntax

Following is the basic syntax of the Python math.prod() method −

math.remainder(x, y)

Parameters

This method accepts the following parameters −

• x − It is the dividend (the number being divided).

• y − It is the divisor (the number by which x is being divided).

Return Value

The method returns the remainder of the division of "x" by "y".

Example 1

In the following example, we are calculating the remainder of dividing "10" by "3" using the math.remainder() method −

import math
result = math.remainder(10, 3)
print("The result obtained is:",result)         

Output

The output obtained is as follows −

The result obtained is: 1.0

Example 2

When we pass a negative dividend as an argument to the remainder() method, it retains the sign of the dividend and returns it accordingly −

import math
result = math.remainder(-10, 3)
print("The result obtained is:",result)  

Output

Following is the output of the above code −

The result obtained is: -1.0

Example 3

Now, we are calculating the remainder of dividing the dividend "10" by a negative divisor "-3" using the math.remainder() method −

import math
result = math.remainder(10, -3)
print("The result obtained is:",result) 

Output

We get the output as shown below −

The result obtained is: 1.0

Example 4

In this example, we are calculating the remainder by passing floating-point numbers as argument −

import math
result = math.remainder(7.5, 3.5)
print("The result obtained is:",result) 

Output

The result produced is as shown below −

The result obtained is: 0.5