We look at the division of 420341 by 81 
Let's see how many times 81 fits into 420341.

Moving on to step 1:
81 can be fit into 4 0 times, resulting in 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.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 81

On to step 2:
The number 81 fits into 42 0 times, leaving a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Grab the next digit (0) from the dividend, add it to 42, then carry on: 420 / 81

Going ahead to step 3:
If we divide 420 by 81, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 405 from 420 leaves us with 15.
Append the next digit (3) from the dividend to 15 and continue with: 153 / 81

Advancing to step 4:
When dividing 153 by 81, we get 1 with a remainder of 72.
The next digit of our result is 1. 
Result so far: 51.0
The remainder is 72 after subtracting 81 from 153.
Bring next digit (4) of the dividend behind the 72 and repeat the process: 724 / 81

Advancing to step 5:
81 can be fit into 724 8 times, resulting in a remainder of 76.
The number 8 becomes the next digit in our result. 
Result so far: 518.0
Subtract 648 from 724 to get 76.
Bring next digit (1) of the dividend behind the 76 and repeat the process: 761 / 81

Step 6:
761 divided by 81 is 9 with a remainder of 32.
Use 9 as the next digit of our solution. 
Result so far: 5189.0
If we take 729 away from 761, we end up with 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 7:
320 divided by 81 is 3 with a remainder of 77.
Write down 3 as next digit of the result. 
Result so far: 5189.3
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.

Going ahead to step 8:
The number 81 fits into 770 9 times, leaving a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 5189.39
The remainder is 41 after subtracting 729 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 9:
When dividing 410 by 81, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5189.395
If we subtract 405 from 410, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
When dividing 50 by 81, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 5189.395
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 11:
If we divide 500 by 81, we get 6 and a remainder of 14.
The next digit of our result is 6. 
Result so far: 5189.39506
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.

Let's proceed to step 12:
81 can be fit into 140 1 times, resulting in a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 5189.395061
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.

Advancing to step 13:
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: 5189.3950617
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.

Step 14:
81 can be fit into 230 2 times, resulting in a remainder of 68.
The next digit of our result is 2. 
Result so far: 5189.39506172
Subtract 162 from 230 to 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.

The final result is 5189.39506172 with a remainder of 6.8e-08.