The Python division operator that we've seen up to now always produces a `float`

:

In [1]:

```
5/3
```

Out[1]:

In [2]:

```
5/5
```

Out[2]:

*integer division* -- the division operation you might be familiar with from elementary school, where the result is always an integer (and there is a remainder, which you can always compute separately.) We use `//`

for that in Python.

In [3]:

```
14//3
```

Out[3]:

In [4]:

```
13//3
```

Out[4]:

In [5]:

```
456//5
```

Out[5]:

In [6]:

```
15//5
```

Out[6]:

Note that the result is always an `int`

.

Side note: it's not the case that `int(a/b) == a//b`

, because of negative numbers.

In [7]:

```
(-16)//5
```

Out[7]:

In [8]:

```
int(-16/5)
```

Out[8]:

In [9]:

```
a, b = -42, 5
```

In [10]:

```
(a//b) * b + (a % b)
```

Out[10]:

Which is what we'd expect with positive numbers as well.