# Ceiling Division in Python

Ceiling division returns the closest integer greater than or equal to the current answer or quotient. In Python, we have an operator `//` for floor division, but no such operator exists for the ceiling division. This article will talk about different ways in which we can perform ceiling division in Python.

## Ceiling Division Using the `//` Operator in Python

We can use so math and floor division `//` to perform ceiling division in Python. Refer to the following code.

``````def ceil(a, b):
return -1 * (-a // b)

print(ceil(1, 2))
print(ceil(5, 4))
print(ceil(7, 2))
print(ceil(5, 3))
print(ceil(121, 10))
``````

Output:

``````1
2
4
2
13
``````

What we did is as follows -

• `-a // b` will return the same answer but with the opposite sign as compared to that of `a // b`.
• Since on the negative side, `-a` is greater than `-(a + 1)`, where `a` is a positive number, the `//` operator will return an integer just smaller than the actual answer. For example, if the answer from the normal division was `-1.25`, the floor value returned will be `-2` (closest smallest integer to `-1.25`).
• By multiplying `-1` to the intermediate answer or result of `(-a // b)` , we will get the answer with its expected sign. The returned value is essentially the result of ceiling division.

## Ceiling Division Using the `math.ceil()` Function in Python

Python has a `math` package that is filled with functions and utilities to perform mathematical operations. One such function is the `ceil()` function. This function returns the ceil value of the passed number. For example, if we pass `2.3` to this function, it will return `3`. We will pass the result of normal division to this function and return its ceil value. Refer to the following code for some more examples and its usage.

``````from math import ceil

print(ceil(1 / 2))
print(ceil(5 / 4))
print(ceil(7 / 2))
print(ceil(5 / 3))
print(ceil(121 / 10))
``````

Output:

``````1
2
4
2
13
``````
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