Let's divide 688435 by 81
Our goal is to divide 688435 by 81.

On to step 1:
If we divide 6 by 81, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 81

Moving on to step 2:
68 divided by 81 is 0 with a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 68 after subtracting 0 from 68.
Append the next digit (8) from the dividend to 68 and continue with: 688 / 81

Advancing to step 3:
When dividing 688 by 81, we get 8 with a remainder of 40.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 40 after subtracting 648 from 688.
Append the next digit (4) from the dividend to 40 and continue with: 404 / 81

Moving on to step 4:
The number 81 fits into 404 4 times, leaving a remainder of 80.
The number 4 becomes the next digit in our result. 
Result so far: 84.0
The remainder is 80 after subtracting 324 from 404.
Take the next digit (3) from the dividend and append it to 80, then repeat: 803 / 81

On to step 5:
81 goes into 803 9 times with a remainder of 74.
Put 9 as the next digit of the answer. 
Result so far: 849.0
Subtracting 729 from 803 leaves us with 74.
Include the next digit (5) from the dividend after 74, then repeat: 745 / 81

Step 6:
81 goes into 745 9 times with a remainder of 16.
Write down 9 as next digit of the result. 
Result so far: 8499.0
Subtract 729 from 745 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.

On to step 7:
When dividing 160 by 81, we get 1 with a remainder of 79.
Record the quotient 1 as the next digit in the result. 
Result so far: 8499.1
Subtract 81 from 160 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 8:
The number 81 fits into 790 9 times, leaving a remainder of 61.
Record the quotient 9 as the next digit in the result. 
Result so far: 8499.19
The remainder is 61 after subtracting 729 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 9:
81 goes into 610 7 times with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 8499.197
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.

Step 10:
The number 81 fits into 430 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 8499.1975
If we subtract 405 from 430, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 11:
81 goes into 250 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 8499.19753
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.

Moving on to step 12:
81 can be fit into 70 0 times, resulting in a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 8499.19753
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 13:
The number 81 fits into 700 8 times, leaving a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 8499.1975308
The remainder is 52 after subtracting 648 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 14:
If we divide 520 by 81, we get 6 and a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 8499.19753086
Deduct 486 from 520 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 8499.19753086 with a remainder of 3.4e-08.