We look at the division of 306629 by 81 
We want to divide 306629 by 81.

Step 1:
If we divide 3 by 81, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 81

On to step 2:
30 divided by 81 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 81

Going ahead to step 3:
When dividing 306 by 81, we get 3 with a remainder of 63.
The next digit of our result is 3. 
Result so far: 3.0
If we take 243 away from 306, we end up with 63.
Take the next digit (6) from the dividend and append it to 63, then repeat: 636 / 81

Going ahead to step 4:
636 divided by 81 is 7 with a remainder of 69.
The next digit of our result is 7. 
Result so far: 37.0
Subtract 567 from 636 to get 69.
Fetch the next digit (2) from the dividend, attach it to 69 and continue: 692 / 81

Moving on to step 5:
81 can be fit into 692 8 times, resulting in a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 378.0
Deduct 648 from 692 and we're left with 44.
Fetch the next digit (9) from the dividend, attach it to 44 and continue: 449 / 81

Moving on to step 6:
449 divided by 81 is 5 with a remainder of 44.
Record the quotient 5 as the next digit in the result. 
Result so far: 3785.0
Subtract 405 from 449 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
81 can be fit into 440 5 times, resulting in a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 3785.5
If we subtract 405 from 440, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
The number 81 fits into 350 4 times, leaving a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 3785.54
If we subtract 324 from 350, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
81 can be fit into 260 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 3785.543
Subtract 243 from 260 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 10:
81 goes into 170 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 3785.5432
Subtract 162 from 170 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
If we divide 80 by 81, we get 0 and a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 3785.5432
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 12:
When dividing 800 by 81, we get 9 with a remainder of 71.
Record the quotient 9 as the next digit in the result. 
Result so far: 3785.543209
If we take 729 away from 800, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 13:
81 can be fit into 710 8 times, resulting in a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 3785.5432098
Subtracting 648 from 710 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 14:
When dividing 620 by 81, we get 7 with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 3785.54320987
Deduct 567 from 620 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The final outcome is 3785.54320987, with a leftover of 5.3e-08.