We look at the division of 877814 by 83 
We're looking to find how many times 83 goes into 877814.

Step 1:
When dividing 8 by 83, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 83

Advancing to step 2:
87 divided by 83 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 83 from 87 to get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 83

Going ahead to step 3:
The number 83 fits into 47 0 times, leaving a remainder of 47.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 47 after subtracting 0 from 47.
Append the next digit (8) from the dividend to 47 and continue with: 478 / 83

Going ahead to step 4:
83 goes into 478 5 times with a remainder of 63.
The next digit of our result is 5. 
Result so far: 105.0
Subtract 415 from 478 to get 63.
Take the next digit (1) from the dividend and append it to 63, then repeat: 631 / 83

Moving on to step 5:
The number 83 fits into 631 7 times, leaving a remainder of 50.
Record the quotient 7 as the next digit in the result. 
Result so far: 1057.0
Subtracting 581 from 631 leaves us with 50.
Bring next digit (4) of the dividend behind the 50 and repeat the process: 504 / 83

On to step 6:
If we divide 504 by 83, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 10576.0
If we subtract 498 from 504, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
When dividing 60 by 83, we get 0 with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 10576.0
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
83 goes into 600 7 times with a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 10576.07
Deduct 581 from 600 and we're left 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.

Advancing to step 9:
83 goes into 190 2 times with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 10576.072
Subtract 166 from 190 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
83 goes into 240 2 times with a remainder of 74.
Write down 2 as next digit of the result. 
Result so far: 10576.0722
The remainder is 74 after subtracting 166 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The final outcome is 10576.0722, with a leftover of 0.00074.