We look at the division of 101408 by 81 
Our goal is to divide 101408 by 81.

Going ahead to step 1:
81 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 81

Step 2:
81 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 81

Advancing to step 3:
The number 81 fits into 101 1 times, leaving a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 81 from 101 leaves us with 20.
Bring next digit (4) of the dividend behind the 20 and repeat the process: 204 / 81

Moving on to step 4:
If we divide 204 by 81, we get 2 and a remainder of 42.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 162 from 204 to get 42.
Grab the next digit (0) from the dividend, add it to 42, then carry on: 420 / 81

Let's proceed to step 5:
420 divided by 81 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 125.0
Subtracting 405 from 420 leaves us with 15.
Bring next digit (8) of the dividend behind the 15 and repeat the process: 158 / 81

Moving on to step 6:
158 divided by 81 is 1 with a remainder of 77.
Record the quotient 1 as the next digit in the result. 
Result so far: 1251.0
Subtracting 81 from 158 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Advancing to step 7:
When dividing 770 by 81, we get 9 with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 1251.9
Deduct 729 from 770 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 8:
81 can be fit into 410 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 1251.95
Deduct 405 from 410 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
When dividing 50 by 81, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 1251.95
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
81 can be fit into 500 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 1251.9506
Subtract 486 from 500 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
140 divided by 81 is 1 with a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 1251.95061
The remainder is 59 after subtracting 81 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 12:
If we divide 590 by 81, we get 7 and a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 1251.950617
Subtracting 567 from 590 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 13:
230 divided by 81 is 2 with a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 1251.9506172
If we take 162 away from 230, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 14:
680 divided by 81 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 1251.95061728
If we subtract 648 from 680, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 1251.95061728 and a remainder of 3.2e-08.