We look at the division of 684739 by 81 
We want to figure out the number of times 684739 can be divided by 81.

Let's proceed to step 1:
81 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 81

On to step 2:
If we divide 68 by 81, we get 0 and a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 68 leaves us with 68.
Append the next digit (4) from the dividend to 68 and continue with: 684 / 81

Moving on to step 3:
If we divide 684 by 81, we get 8 and a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 36 after subtracting 648 from 684.
Grab the next digit (7) from the dividend, add it to 36, then carry on: 367 / 81

On to step 4:
The number 81 fits into 367 4 times, leaving a remainder of 43.
Record the quotient 4 as the next digit in the result. 
Result so far: 84.0
Subtract 324 from 367 to get 43.
Take the next digit (3) from the dividend and append it to 43, then repeat: 433 / 81

Step 5:
81 goes into 433 5 times with a remainder of 28.
Record the quotient 5 as the next digit in the result. 
Result so far: 845.0
Deduct 405 from 433 and we're left with 28.
Fetch the next digit (9) from the dividend, attach it to 28 and continue: 289 / 81

Moving on to step 6:
The number 81 fits into 289 3 times, leaving a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 8453.0
The remainder is 46 after subtracting 243 from 289.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 7:
81 can be fit into 460 5 times, resulting in a remainder of 55.
The next digit of our result is 5. 
Result so far: 8453.5
If we take 405 away from 460, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
When dividing 550 by 81, we get 6 with a remainder of 64.
The next digit of our result is 6. 
Result so far: 8453.56
Subtract 486 from 550 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 9:
If we divide 640 by 81, we get 7 and a remainder of 73.
The number 7 becomes the next digit in our result. 
Result so far: 8453.567
If we take 567 away from 640, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 10:
When dividing 730 by 81, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 8453.5679
The remainder is 1 after subtracting 729 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
The number 81 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 8453.5679
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
When dividing 100 by 81, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 8453.567901
Subtracting 81 from 100 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 13:
81 can be fit into 190 2 times, resulting in a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 8453.5679012
Subtracting 162 from 190 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 14:
81 goes into 280 3 times with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 8453.56790123
Subtracting 243 from 280 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

In conclusion, the division gives 8453.56790123 with a balance of 3.7e-08.