We're dividing 321429 by 81 
We want to divide 321429 by 81.

On to step 1:
3 divided by 81 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 81

Advancing to step 2:
81 goes into 32 0 times with a remainder of 32.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 32, we get 32.
Fetch the next digit (1) from the dividend, attach it to 32 and continue: 321 / 81

Let's proceed to step 3:
321 divided by 81 is 3 with a remainder of 78.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 243 away from 321, we end up with 78.
Append the next digit (4) from the dividend to 78 and continue with: 784 / 81

Going ahead to step 4:
If we divide 784 by 81, we get 9 and a remainder of 55.
The next digit of our result is 9. 
Result so far: 39.0
If we take 729 away from 784, we end up with 55.
Bring next digit (2) of the dividend behind the 55 and repeat the process: 552 / 81

Going ahead to step 5:
81 can be fit into 552 6 times, resulting in a remainder of 66.
Put 6 as the next digit of the answer. 
Result so far: 396.0
If we subtract 486 from 552, we get 66.
Grab the next digit (9) from the dividend, add it to 66, then carry on: 669 / 81

Step 6:
81 can be fit into 669 8 times, resulting in a remainder of 21.
The number 8 becomes the next digit in our result. 
Result so far: 3968.0
If we take 648 away from 669, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
81 can be fit into 210 2 times, resulting in a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 3968.2
Subtracting 162 from 210 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
If we divide 480 by 81, we get 5 and a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 3968.25
If we subtract 405 from 480, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 9:
81 goes into 750 9 times with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 3968.259
Deduct 729 from 750 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 10:
81 goes into 210 2 times with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 3968.2592
If we subtract 162 from 210, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 11:
81 can be fit into 480 5 times, resulting in a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 3968.25925
If we take 405 away from 480, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 12:
The number 81 fits into 750 9 times, leaving a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 3968.259259
If we subtract 729 from 750, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 13:
81 goes into 210 2 times with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 3968.2592592
The remainder is 48 after subtracting 162 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 14:
81 goes into 480 5 times with a remainder of 75.
The next digit of our result is 5. 
Result so far: 3968.25925925
Subtract 405 from 480 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

In conclusion, the division gives 3968.25925925 with a balance of 7.5e-08.