We're dividing 877271 by 90 
We want to figure out the number of times 877271 can be divided by 90.

Let's proceed to step 1:
When dividing 8 by 90, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 90

Moving on to step 2:
87 divided by 90 is 0 with a remainder of 87.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 87 leaves us with 87.
Fetch the next digit (7) from the dividend, attach it to 87 and continue: 877 / 90

Going ahead to step 3:
When dividing 877 by 90, we get 9 with a remainder of 67.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we subtract 810 from 877, we get 67.
Include the next digit (2) from the dividend after 67, then repeat: 672 / 90

Moving on to step 4:
When dividing 672 by 90, we get 7 with a remainder of 42.
Record the quotient 7 as the next digit in the result. 
Result so far: 97.0
Deduct 630 from 672 and we're left with 42.
Take the next digit (7) from the dividend and append it to 42, then repeat: 427 / 90

Going ahead to step 5:
90 goes into 427 4 times with a remainder of 67.
Write down 4 as next digit of the result. 
Result so far: 974.0
Subtracting 360 from 427 leaves us with 67.
Grab the next digit (1) from the dividend, add it to 67, then carry on: 671 / 90

Going ahead to step 6:
90 can be fit into 671 7 times, resulting in a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 9747.0
The remainder is 41 after subtracting 630 from 671.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 7:
90 can be fit into 410 4 times, resulting in a remainder of 50.
The next digit of our result is 4. 
Result so far: 9747.4
If we take 360 away from 410, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
If we divide 500 by 90, we get 5 and a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 9747.45
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
90 can be fit into 500 5 times, resulting in a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 9747.455
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 9747.455, with a leftover of 0.005.