[Term Entry] PyTorch Tensor Operations: .floor_divide() (#7472)

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Author: AtulDeshpande09

content/pytorch/concepts/tensor-operations/terms/floor-divide/floor-divide.md

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+---
+Title: '.floor_divide()'
+Description: 'Computes element-wise division of tensors (or tensor and scalar) and applies floor rounding.'
+Subjects:
+  - 'Computer Science'
+  - 'Machine Learning'
+Tags:
+  - 'Functions'
+  - 'Machine Learning'
+  - 'Python'
+  - 'Tensor'
+CatalogContent:
+  - 'intro-to-py-torch-and-neural-networks'
+  - 'paths/computer-science'
+---
+
+In PyTorch, the **`.floor_divide()`** function divides the `input` by other element-wise and rounds each quotient down to the nearest integer, returning the floored result as a [tensor](https://www.codecademy.com/resources/docs/pytorch/tensors). It supports broadcasting, type promotion, and both integer and floating-point operands. The operation can be expressed as:
+
+$$\text{out}_i = \text{floor}(\frac{\text{input}_i}{\text{other}_i})$$
+
+## Syntax
+
+```pseudo
+torch.floor_divide(input, other, *, out=None) → Tensor
+```
+
+**Parameters:**
+
+- `input`: The input tensor(dividend).
+- `other`: Tensor or Number(divisor).
+- `out` (Optional): A tensor to store the output. If provided, the result is written to this tensor.
+
+**Return value:**
+
+It returns a new tensor of the same shape as the `input`, containing the result of element-wise division and rounds the result of the division down to the nearest integer.
+
+## Example
+
+In this example, we use `floor_divide()` to perform divison of two tensors `x` and `y` :
+
+```py
+import torch
+
+x = torch.tensor([4.0, 3.0])
+
+y = torch.tensor([2.0, 2.0])
+
+print(torch.floor_divide(x, y))
+```
+
+The output of this code is:
+
+```shell
+tensor([2., 1.])
+```