We look at the division of 101223 by 81 
Our goal is to divide 101223 by 81.

Let's proceed to step 1:
The number 81 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 81

On to step 2:
If we divide 10 by 81, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 81

Step 3:
101 divided by 81 is 1 with a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 81 from 101, we get 20.
Append the next digit (2) from the dividend to 20 and continue with: 202 / 81

On to step 4:
202 divided by 81 is 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
The remainder is 40 after subtracting 162 from 202.
Bring next digit (2) of the dividend behind the 40 and repeat the process: 402 / 81

On to step 5:
81 goes into 402 4 times with a remainder of 78.
Record the quotient 4 as the next digit in the result. 
Result so far: 124.0
If we subtract 324 from 402, we get 78.
Take the next digit (3) from the dividend and append it to 78, then repeat: 783 / 81

On to step 6:
The number 81 fits into 783 9 times, leaving a remainder of 54.
The next digit of our result is 9. 
Result so far: 1249.0
If we subtract 729 from 783, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 7:
The number 81 fits into 540 6 times, leaving a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 1249.6
If we subtract 486 from 540, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 8:
If we divide 540 by 81, we get 6 and a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 1249.66
Deduct 486 from 540 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final outcome is 1249.66, with a leftover of 0.054.