Here's the corrected code:
```
def partition(my_list, first_index, last_index):
pivot = my_list[first_index]
left_pointer = first_index + 1
right_pointer = last_index
while True:
# Iterate until the value pointed by left_pointer is greater than pivot or left_pointer is greater than or equal to right_pointer
while left_pointer <= right_pointer and my_list[left_pointer] < pivot:
left_pointer += 1
while my_list[right_pointer] > pivot and right_pointer >= first_index:
right_pointer -= 1
if left_pointer >= right_pointer:
break
# Swap the values for the elements located at the left_pointer and right_pointer
my_list[left_pointer], my_list[right_pointer] = my_list[right_pointer], my_list[left_pointer]
my_list[first_index], my_list[right_pointer] = my_list[right_pointer], my_list[first_index]
return right_pointer
```
The code defines a partition function that partitions a list using the quicksort algorithm. It takes three parameters: my_list, which is the list to be partitioned, first_index, which is the index of the first element in the sublist to be partitioned, and last_index, which is the index of the last element in the sublist to be partitioned. It starts by setting the pivot to the first element in the sublist and initializing two pointers, left_pointer and right_pointer, to the first and last indices of the sublist, respectively. Then, it loops through the sublist and moves the left_pointer to the right until it points to an element greater than or equal to the pivot, and moves the right_pointer to the left until it points to an element less than or equal to the pivot. If the left_pointer is greater than or equal to the right_pointer, it breaks out of the loop. Otherwise, it swaps the elements at the left_pointer and right_pointer. After the loop finishes, it swaps the pivot with the element at the right_pointer and returns the index of the pivot. The code has been corrected by fixing the conditions in the while loops and swapping the