We're dividing 691679 by 81 
We want to figure out the number of times 691679 can be divided by 81.

Advancing to step 1:
If we divide 6 by 81, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 81

On to step 2:
When dividing 69 by 81, we get 0 with a remainder of 69.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 69 to get 69.
Append the next digit (1) from the dividend to 69 and continue with: 691 / 81

Step 3:
If we divide 691 by 81, we get 8 and a remainder of 43.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 648 from 691 to get 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 81

Going ahead to step 4:
If we divide 436 by 81, we get 5 and a remainder of 31.
Use 5 as the next digit of our solution. 
Result so far: 85.0
If we subtract 405 from 436, we get 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 81

Step 5:
If we divide 317 by 81, we get 3 and a remainder of 74.
Write down 3 as next digit of the result. 
Result so far: 853.0
If we subtract 243 from 317, we get 74.
Grab the next digit (9) from the dividend, add it to 74, then carry on: 749 / 81

Advancing to step 6:
The number 81 fits into 749 9 times, leaving a remainder of 20.
Use 9 as the next digit of our solution. 
Result so far: 8539.0
Subtract 729 from 749 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
The number 81 fits into 200 2 times, leaving a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 8539.2
If we subtract 162 from 200, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 8:
The number 81 fits into 380 4 times, leaving a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 8539.24
Deduct 324 from 380 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 9:
If we divide 560 by 81, we get 6 and a remainder of 74.
The next digit of our result is 6. 
Result so far: 8539.246
The remainder is 74 after subtracting 486 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 10:
81 goes into 740 9 times with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 8539.2469
The remainder is 11 after subtracting 729 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 11:
The number 81 fits into 110 1 times, leaving a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 8539.24691
The remainder is 29 after subtracting 81 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 12:
81 goes into 290 3 times with a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 8539.246913
Deduct 243 from 290 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 13:
If we divide 470 by 81, we get 5 and a remainder of 65.
The next digit of our result is 5. 
Result so far: 8539.2469135
The remainder is 65 after subtracting 405 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 14:
81 goes into 650 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 8539.24691358
If we take 648 away from 650, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 8539.24691358 with a balance of 2e-09.