We're dividing 668355 by 81 
Our goal is to divide 668355 by 81.

Step 1:
The number 81 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 81

Step 2:
66 divided by 81 is 0 with a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Bring next digit (8) of the dividend behind the 66 and repeat the process: 668 / 81

Moving on to step 3:
81 goes into 668 8 times with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 648 from 668 leaves us with 20.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 81

On to step 4:
If we divide 203 by 81, we get 2 and a remainder of 41.
Put 2 as the next digit of the answer. 
Result so far: 82.0
Subtract 162 from 203 to get 41.
Fetch the next digit (5) from the dividend, attach it to 41 and continue: 415 / 81

Moving on to step 5:
If we divide 415 by 81, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 825.0
Subtract 405 from 415 to get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 81

Moving on to step 6:
81 goes into 105 1 times with a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 8251.0
Subtract 81 from 105 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
240 divided by 81 is 2 with a remainder of 78.
Record the quotient 2 as the next digit in the result. 
Result so far: 8251.2
The remainder is 78 after subtracting 162 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 8:
If we divide 780 by 81, we get 9 and a remainder of 51.
Record the quotient 9 as the next digit in the result. 
Result so far: 8251.29
The remainder is 51 after subtracting 729 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 9:
If we divide 510 by 81, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 8251.296
Subtract 486 from 510 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
81 can be fit into 240 2 times, resulting in a remainder of 78.
The next digit of our result is 2. 
Result so far: 8251.2962
Subtracting 162 from 240 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 11:
The number 81 fits into 780 9 times, leaving a remainder of 51.
Put 9 as the next digit of the answer. 
Result so far: 8251.29629
Subtract 729 from 780 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 12:
81 can be fit into 510 6 times, resulting in a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 8251.296296
Subtracting 486 from 510 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 13:
81 goes into 240 2 times with a remainder of 78.
Put 2 as the next digit of the answer. 
Result so far: 8251.2962962
Subtracting 162 from 240 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 14:
If we divide 780 by 81, we get 9 and a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 8251.29629629
Subtract 729 from 780 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

In conclusion, the division gives 8251.29629629 with a balance of 5.1e-08.