We're dividing 877903 by 81 
We want to divide 877903 by 81.

Advancing to step 1:
The number 81 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 81

Advancing to step 2:
81 can be fit into 87 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 6 after subtracting 81 from 87.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 81

Advancing to step 3:
81 goes into 67 0 times with a remainder of 67.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 67, we end up with 67.
Include the next digit (9) from the dividend after 67, then repeat: 679 / 81

Advancing to step 4:
679 divided by 81 is 8 with a remainder of 31.
The next digit of our result is 8. 
Result so far: 108.0
Subtracting 648 from 679 leaves us with 31.
Bring next digit (0) of the dividend behind the 31 and repeat the process: 310 / 81

Advancing to step 5:
310 divided by 81 is 3 with a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 1083.0
Subtracting 243 from 310 leaves us with 67.
Append the next digit (3) from the dividend to 67 and continue with: 673 / 81

Advancing to step 6:
When dividing 673 by 81, we get 8 with a remainder of 25.
The next digit of our result is 8. 
Result so far: 10838.0
The remainder is 25 after subtracting 648 from 673.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
81 can be fit into 250 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 10838.3
Subtract 243 from 250 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
If we divide 70 by 81, we get 0 and a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 10838.3
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 9:
The number 81 fits into 700 8 times, leaving a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 10838.308
Subtract 648 from 700 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 10:
When dividing 520 by 81, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 10838.3086
The remainder is 34 after subtracting 486 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 11:
340 divided by 81 is 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 10838.30864
If we subtract 324 from 340, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
81 goes into 160 1 times with a remainder of 79.
Use 1 as the next digit of our solution. 
Result so far: 10838.308641
Subtract 81 from 160 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 13:
790 divided by 81 is 9 with a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 10838.3086419
If we take 729 away from 790, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 14:
81 goes into 610 7 times with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 10838.30864197
If we take 567 away from 610, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final outcome is 10838.30864197, with a leftover of 4.3e-08.