We're dividing 677849 by 81 
We want to divide 677849 by 81.

Going ahead to step 1:
When dividing 6 by 81, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 81

Going ahead to step 2:
81 goes into 67 0 times with a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 67, we end up with 67.
Grab the next digit (7) from the dividend, add it to 67, then carry on: 677 / 81

Let's proceed to step 3:
81 goes into 677 8 times with a remainder of 29.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 648 from 677 leaves us with 29.
Take the next digit (8) from the dividend and append it to 29, then repeat: 298 / 81

Step 4:
If we divide 298 by 81, we get 3 and a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
Subtract 243 from 298 to get 55.
Append the next digit (4) from the dividend to 55 and continue with: 554 / 81

Advancing to step 5:
The number 81 fits into 554 6 times, leaving a remainder of 68.
Use 6 as the next digit of our solution. 
Result so far: 836.0
Deduct 486 from 554 and we're left with 68.
Bring next digit (9) of the dividend behind the 68 and repeat the process: 689 / 81

On to step 6:
81 can be fit into 689 8 times, resulting in a remainder of 41.
Use 8 as the next digit of our solution. 
Result so far: 8368.0
The remainder is 41 after subtracting 648 from 689.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 7:
410 divided by 81 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8368.5
Deduct 405 from 410 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
When dividing 50 by 81, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 8368.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
When dividing 500 by 81, we get 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 8368.506
The remainder is 14 after subtracting 486 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
140 divided by 81 is 1 with a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 8368.5061
If we subtract 81 from 140, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 11:
If we divide 590 by 81, we get 7 and a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 8368.50617
If we subtract 567 from 590, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 12:
When dividing 230 by 81, we get 2 with a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 8368.506172
Subtract 162 from 230 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 13:
When dividing 680 by 81, we get 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 8368.5061728
If we take 648 away from 680, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 14:
The number 81 fits into 320 3 times, leaving a remainder of 77.
Use 3 as the next digit of our solution. 
Result so far: 8368.50617283
If we take 243 away from 320, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

In conclusion, the division gives 8368.50617283 with a balance of 7.7e-08.