Create integer division.md

Author: venopyX

Tips & Tricks/integer division.md

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+**Useful Tip: Utilizing `//` for Integer Division**:
+
+In the context of the examples provided, the use of `//` serves the purpose of integer division. Here are some tips and tricks for leveraging `//` in competitive programming challenges:
+
+1. **Integer Division**: The `//` operator performs division where the result is rounded down to the nearest integer, discarding any fractional part.
+   ```python
+   result = 7 // 2  # This will give 3, not 3.5
+   ```
+
+2. **Extracting Digits**: In the context of extracting digits from a number, `n //= 10` is used to remove the last digit in each iteration of a loop.
+   ```python
+   n = 12345
+   while n > 0:
+       digit = n % 10  # Extract last digit
+       n //= 10         # Remove last digit
+   ```
+
+3. **Finding the Quotient**: When dealing with division where only the integer part of the result is needed, `//` is preferred over `/`.
+   ```python
+   quotient = 17 // 3  # This will give 5
+   ```
+
+4. **Dealing with Negative Numbers**: `//` follows the behavior of rounding towards negative infinity for negative operands.
+   ```python
+   result = -7 // 2  # This will give -4, not -3.5
+   ```
+
+5. **Splitting into Groups**: Use `//` to divide a sequence into equal-sized groups or partitions.
+   ```python
+   items_per_group = 5
+   total_items = 23
+   num_groups = (total_items + items_per_group - 1) // items_per_group
+   ```
+
+6. **Flooring Decimal Numbers**: While `math.floor()` provides similar functionality, `//` is often faster for integer division.
+   ```python
+   import math
+   result1 = math.floor(7.5)  # This will give 7
+   result2 = 7.5 // 1         # This will give 7
+   ```
+
+7. **Avoiding Floating Point Errors**: In cases where floating-point errors may occur, `//` ensures precise integer division without rounding errors.
+   ```python
+   result = 10**10 // 3.0  # This will give precise integer result without rounding errors
+   ```
+
+By understanding and utilizing `//` effectively, you can achieve efficient and accurate integer division in various competitive programming scenarios.