We're dividing 14266127 by 501 
We're looking to find how many times 501 goes into 14266127.

Step 1:
501 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 501

Let's proceed to step 2:
The number 501 fits into 14 0 times, leaving a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 501

Let's proceed to step 3:
142 divided by 501 is 0 with a remainder of 142.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 142 to get 142.
Bring next digit (6) of the dividend behind the 142 and repeat the process: 1426 / 501

Moving on to step 4:
501 goes into 1426 2 times with a remainder of 424.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 1002 from 1426 and we're left with 424.
Append the next digit (6) from the dividend to 424 and continue with: 4246 / 501

Going ahead to step 5:
When dividing 4246 by 501, we get 8 with a remainder of 238.
Write down 8 as next digit of the result. 
Result so far: 28.0
If we subtract 4008 from 4246, we get 238.
Fetch the next digit (1) from the dividend, attach it to 238 and continue: 2381 / 501

On to step 6:
501 can be fit into 2381 4 times, resulting in a remainder of 377.
Use 4 as the next digit of our solution. 
Result so far: 284.0
The remainder is 377 after subtracting 2004 from 2381.
Include the next digit (2) from the dividend after 377, then repeat: 3772 / 501

Step 7:
When dividing 3772 by 501, we get 7 with a remainder of 265.
Write down 7 as next digit of the result. 
Result so far: 2847.0
Subtracting 3507 from 3772 leaves us with 265.
Include the next digit (7) from the dividend after 265, then repeat: 2657 / 501

Step 8:
2657 divided by 501 is 5 with a remainder of 152.
The next digit of our result is 5. 
Result so far: 28475.0
Subtracting 2505 from 2657 leaves us with 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Going ahead to step 9:
501 can be fit into 1520 3 times, resulting in a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 28475.3
Deduct 1503 from 1520 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 10:
When dividing 170 by 501, we get 0 with a remainder of 170.
The next digit of our result is 0. 
Result so far: 28475.3
Subtract 0 from 170 to get 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Step 11:
501 can be fit into 1700 3 times, resulting in a remainder of 197.
The next digit of our result is 3. 
Result so far: 28475.303
Deduct 1503 from 1700 and we're left with 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

Moving on to step 12:
The number 501 fits into 1970 3 times, leaving a remainder of 467.
The number 3 becomes the next digit in our result. 
Result so far: 28475.3033
If we subtract 1503 from 1970, we get 467.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4670, and continue the process.

The final outcome is 28475.3033, with a leftover of 0.00467.