We're dividing 421862 by 81 
Our goal is to divide 421862 by 81.

Step 1:
When dividing 4 by 81, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 81

On to step 2:
81 can be fit into 42 0 times, resulting in a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 81

Step 3:
The number 81 fits into 421 5 times, leaving a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 405 away from 421, we end up with 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 81

Advancing to step 4:
The number 81 fits into 168 2 times, leaving a remainder of 6.
The next digit of our result is 2. 
Result so far: 52.0
Deduct 162 from 168 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 81

Going ahead to step 5:
81 can be fit into 66 0 times, resulting in a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 520.0
If we subtract 0 from 66, we get 66.
Append the next digit (2) from the dividend to 66 and continue with: 662 / 81

Step 6:
The number 81 fits into 662 8 times, leaving a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 5208.0
The remainder is 14 after subtracting 648 from 662.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
When dividing 140 by 81, we get 1 with a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 5208.1
If we take 81 away from 140, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 8:
If we divide 590 by 81, we get 7 and a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 5208.17
If we take 567 away from 590, we end up 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.

On to step 9:
If we divide 230 by 81, we get 2 and a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 5208.172
If we subtract 162 from 230, we get 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 10:
The number 81 fits into 680 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 5208.1728
Subtract 648 from 680 to 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.

Moving on to step 11:
If we divide 320 by 81, we get 3 and a remainder of 77.
Put 3 as the next digit of the answer. 
Result so far: 5208.17283
If we subtract 243 from 320, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 12:
When dividing 770 by 81, we get 9 with a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 5208.172839
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.

Advancing to step 13:
The number 81 fits into 410 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5208.1728395
The remainder is 5 after subtracting 405 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
If we divide 50 by 81, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 5208.1728395
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.

In conclusion, the division gives 5208.1728395 with a balance of 5e-08.