We're dividing 634629 by 81 
Our goal is to divide 634629 by 81.

On to step 1:
When dividing 6 by 81, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 81

Advancing to step 2:
63 divided by 81 is 0 with a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Take the next digit (4) from the dividend and append it to 63, then repeat: 634 / 81

Going ahead to step 3:
If we divide 634 by 81, we get 7 and a remainder of 67.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 567 from 634 leaves us with 67.
Append the next digit (6) from the dividend to 67 and continue with: 676 / 81

On to step 4:
The number 81 fits into 676 8 times, leaving a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 78.0
If we subtract 648 from 676, we get 28.
Grab the next digit (2) from the dividend, add it to 28, then carry on: 282 / 81

Moving on to step 5:
If we divide 282 by 81, we get 3 and a remainder of 39.
The next digit of our result is 3. 
Result so far: 783.0
Deduct 243 from 282 and we're left with 39.
Grab the next digit (9) from the dividend, add it to 39, then carry on: 399 / 81

Advancing to step 6:
The number 81 fits into 399 4 times, leaving a remainder of 75.
Record the quotient 4 as the next digit in the result. 
Result so far: 7834.0
The remainder is 75 after subtracting 324 from 399.
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 7:
When dividing 750 by 81, we get 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 7834.9
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.

Let's proceed to step 8:
The number 81 fits into 210 2 times, leaving a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 7834.92
If we take 162 away from 210, we end up 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.

On to step 9:
81 goes into 480 5 times with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 7834.925
Deduct 405 from 480 and we're left 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.

Moving on to step 10:
81 can be fit into 750 9 times, resulting in a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 7834.9259
Subtract 729 from 750 to 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.

Let's proceed to step 11:
When dividing 210 by 81, we get 2 with a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 7834.92592
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.

Going ahead to step 12:
If we divide 480 by 81, we get 5 and a remainder of 75.
The next digit of our result is 5. 
Result so far: 7834.925925
Subtracting 405 from 480 leaves us 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.

Moving on to step 13:
When dividing 750 by 81, we get 9 with a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 7834.9259259
The remainder is 21 after subtracting 729 from 750.
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 14:
210 divided by 81 is 2 with a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 7834.92592592
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.

The final outcome is 7834.92592592, with a leftover of 4.8e-08.