We're dividing 877699 by 81 
We're looking to find how many times 81 goes into 877699.

Going ahead to step 1:
When dividing 8 by 81, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 81

Going ahead to step 2:
The number 81 fits into 87 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 6 after subtracting 81 from 87.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 81

Going ahead to step 3:
81 can be fit into 67 0 times, resulting in a remainder of 67.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 67, we get 67.
Grab the next digit (6) from the dividend, add it to 67, then carry on: 676 / 81

Moving on to step 4:
When dividing 676 by 81, we get 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
The remainder is 28 after subtracting 648 from 676.
Bring next digit (9) of the dividend behind the 28 and repeat the process: 289 / 81

Advancing to step 5:
If we divide 289 by 81, we get 3 and a remainder of 46.
Write down 3 as next digit of the result. 
Result so far: 1083.0
If we subtract 243 from 289, we get 46.
Bring next digit (9) of the dividend behind the 46 and repeat the process: 469 / 81

Moving on to step 6:
The number 81 fits into 469 5 times, leaving a remainder of 64.
The number 5 becomes the next digit in our result. 
Result so far: 10835.0
Subtract 405 from 469 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.

On to step 7:
The number 81 fits into 640 7 times, leaving a remainder of 73.
Record the quotient 7 as the next digit in the result. 
Result so far: 10835.7
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.

On to step 8:
81 can be fit into 730 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 10835.79
Subtract 729 from 730 to get 1.
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 9:
If we divide 10 by 81, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 10835.79
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 10:
When dividing 100 by 81, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 10835.7901
If we subtract 81 from 100, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 11:
If we divide 190 by 81, we get 2 and a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 10835.79012
Deduct 162 from 190 and we're left 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 12:
When dividing 280 by 81, we get 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 10835.790123
Deduct 243 from 280 and we're left 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.

Going ahead to step 13:
When dividing 370 by 81, we get 4 with a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 10835.7901234
The remainder is 46 after subtracting 324 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 14:
81 goes into 460 5 times with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 10835.79012345
The remainder is 55 after subtracting 405 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

After the division, we end up with 10835.79012345 and a remainder of 5.5e-08.