We look at the division of 115877 by 90 
Our goal is to divide 115877 by 90.

On to step 1:
If we divide 1 by 90, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 90

Going ahead to step 2:
If we divide 11 by 90, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 90

Moving on to step 3:
When dividing 115 by 90, we get 1 with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 90 from 115 to get 25.
Take the next digit (8) from the dividend and append it to 25, then repeat: 258 / 90

Going ahead to step 4:
The number 90 fits into 258 2 times, leaving a remainder of 78.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 180 from 258 and we're left with 78.
Bring next digit (7) of the dividend behind the 78 and repeat the process: 787 / 90

Let's proceed to step 5:
The number 90 fits into 787 8 times, leaving a remainder of 67.
Write down 8 as next digit of the result. 
Result so far: 128.0
If we take 720 away from 787, we end up with 67.
Grab the next digit (7) from the dividend, add it to 67, then carry on: 677 / 90

Let's proceed to step 6:
If we divide 677 by 90, we get 7 and a remainder of 47.
Write down 7 as next digit of the result. 
Result so far: 1287.0
If we take 630 away from 677, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
If we divide 470 by 90, we get 5 and a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 1287.5
Subtracting 450 from 470 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
The number 90 fits into 200 2 times, leaving a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 1287.52
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
When dividing 200 by 90, we get 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 1287.522
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 1287.522, with a leftover of 0.002.