We're dividing 16115 by 3 
We're looking to find how many times 3 goes into 16115.

Advancing to step 1:
3 can be fit into 1 0 times, resulting in 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.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

On to step 2:
The number 3 fits into 16 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 15 away from 16, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 3

On to step 3:
3 goes into 11 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 53.0
The remainder is 2 after subtracting 9 from 11.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 3

Let's proceed to step 4:
3 goes into 21 7 times with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 537.0
If we subtract 21 from 21, we get 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 3

Step 5:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 5371.0
If we take 3 away from 5, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 6:
3 goes into 20 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 5371.6
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 5371.66
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 5371.66 with a balance of 0.002.