102915 ÷ 81 
We want to divide 102915 by 81.

Going ahead to step 1:
81 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 81

Moving on to step 2:
When dividing 10 by 81, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 81

Let's proceed to step 3:
The number 81 fits into 102 1 times, leaving a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 81 from 102, we get 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 81

Let's proceed to step 4:
If we divide 219 by 81, we get 2 and a remainder of 57.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
The remainder is 57 after subtracting 162 from 219.
Bring next digit (1) of the dividend behind the 57 and repeat the process: 571 / 81

Let's proceed to step 5:
571 divided by 81 is 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 127.0
Subtracting 567 from 571 leaves us with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 81

Step 6:
81 goes into 45 0 times with a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 1270.0
Subtracting 0 from 45 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 7:
The number 81 fits into 450 5 times, leaving a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 1270.5
Deduct 405 from 450 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
The number 81 fits into 450 5 times, leaving a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 1270.55
Subtract 405 from 450 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final result is 1270.55 with a remainder of 0.045.