We look at the division of 122181 by 81 
We're looking to find how many times 81 goes into 122181.

Moving on to step 1:
81 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 81

Advancing to step 2:
When dividing 12 by 81, we get 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 81

Going ahead to step 3:
The number 81 fits into 122 1 times, leaving a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 81 from 122 to get 41.
Fetch the next digit (1) from the dividend, attach it to 41 and continue: 411 / 81

Let's proceed to step 4:
When dividing 411 by 81, we get 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtracting 405 from 411 leaves us with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 81

Advancing to step 5:
68 divided by 81 is 0 with a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 150.0
If we subtract 0 from 68, we get 68.
Bring next digit (1) of the dividend behind the 68 and repeat the process: 681 / 81

Going ahead to step 6:
If we divide 681 by 81, we get 8 and a remainder of 33.
Use 8 as the next digit of our solution. 
Result so far: 1508.0
If we take 648 away from 681, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
81 goes into 330 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 1508.4
If we take 324 away from 330, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
81 goes into 60 0 times with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 1508.4
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 9:
81 goes into 600 7 times with a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 1508.407
Subtract 567 from 600 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 10:
The number 81 fits into 330 4 times, leaving a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 1508.4074
Deduct 324 from 330 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
The number 81 fits into 60 0 times, leaving a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 1508.4074
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 12:
The number 81 fits into 600 7 times, leaving a remainder of 33.
The next digit of our result is 7. 
Result so far: 1508.407407
The remainder is 33 after subtracting 567 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 13:
When dividing 330 by 81, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 1508.4074074
The remainder is 6 after subtracting 324 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 14:
If we divide 60 by 81, we get 0 and a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 1508.4074074
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

In conclusion, the division gives 1508.4074074 with a balance of 6e-08.