We're dividing 18127 by 3 
We want to divide 18127 by 3.

Moving on to step 1:
If we divide 1 by 3, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 3

Advancing to step 2:
If we divide 18 by 3, we get 6 and a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 0 after subtracting 18 from 18.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 3

Moving on to step 3:
3 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
If we subtract 0 from 1, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 3

On to step 4:
The number 3 fits into 12 4 times, leaving a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 604.0
Subtracting 12 from 12 leaves us with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

Let's proceed to step 5:
3 goes into 7 2 times with a remainder of 1.
The next digit of our result is 2. 
Result so far: 6042.0
If we subtract 6 from 7, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 6:
3 goes into 10 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 6042.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 6042.33
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 6042.33, with a leftover of 0.001.