We look at the division of 115555 by 15 
We're looking to find how many times 15 goes into 115555.

Advancing to step 1:
1 divided by 15 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 15

Advancing to step 2:
15 goes into 11 0 times with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 15

Moving on to step 3:
115 divided by 15 is 7 with a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 105 from 115 to get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 15

Advancing to step 4:
105 divided by 15 is 7 with a remainder of 0.
The next digit of our result is 7. 
Result so far: 77.0
If we subtract 105 from 105, we get 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 15

Step 5:
5 divided by 15 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 770.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 15

On to step 6:
The number 15 fits into 55 3 times, leaving a remainder of 10.
The next digit of our result is 3. 
Result so far: 7703.0
The remainder is 10 after subtracting 45 from 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
If we divide 100 by 15, we get 6 and a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 7703.6
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 7703.66
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 7703.66, and the remainder is 0.01.