We're dividing 635029 by 81 
We want to divide 635029 by 81.

Let's proceed to step 1:
When dividing 6 by 81, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 81

Moving on to step 2:
63 divided by 81 is 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Fetch the next digit (5) from the dividend, attach it to 63 and continue: 635 / 81

Moving on to step 3:
If we divide 635 by 81, we get 7 and a remainder of 68.
The next digit of our result is 7. 
Result so far: 7.0
If we take 567 away from 635, we end up with 68.
Append the next digit (0) from the dividend to 68 and continue with: 680 / 81

Moving on to step 4:
81 can be fit into 680 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 78.0
Subtracting 648 from 680 leaves us with 32.
Grab the next digit (2) from the dividend, add it to 32, then carry on: 322 / 81

Step 5:
When dividing 322 by 81, we get 3 with a remainder of 79.
The number 3 becomes the next digit in our result. 
Result so far: 783.0
Subtract 243 from 322 to get 79.
Fetch the next digit (9) from the dividend, attach it to 79 and continue: 799 / 81

Step 6:
When dividing 799 by 81, we get 9 with a remainder of 70.
Use 9 as the next digit of our solution. 
Result so far: 7839.0
If we take 729 away from 799, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 7:
81 can be fit into 700 8 times, resulting in a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 7839.8
Deduct 648 from 700 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 8:
520 divided by 81 is 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 7839.86
Subtract 486 from 520 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 9:
If we divide 340 by 81, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 7839.864
Subtract 324 from 340 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
When dividing 160 by 81, we get 1 with a remainder of 79.
The number 1 becomes the next digit in our result. 
Result so far: 7839.8641
Subtracting 81 from 160 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 11:
If we divide 790 by 81, we get 9 and a remainder of 61.
Record the quotient 9 as the next digit in the result. 
Result so far: 7839.86419
Deduct 729 from 790 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 12:
When dividing 610 by 81, we get 7 with a remainder of 43.
The next digit of our result is 7. 
Result so far: 7839.864197
Subtract 567 from 610 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 13:
The number 81 fits into 430 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7839.8641975
The remainder is 25 after subtracting 405 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 14:
250 divided by 81 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 7839.86419753
If we take 243 away from 250, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 7839.86419753, with a leftover of 7e-09.