We're dividing 871003 by 91 
Our goal is to divide 871003 by 91.

Step 1:
When dividing 8 by 91, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 91

Let's proceed to step 2:
When dividing 87 by 91, we get 0 with a remainder of 87.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 87 and we're left with 87.
Bring next digit (1) of the dividend behind the 87 and repeat the process: 871 / 91

Moving on to step 3:
When dividing 871 by 91, we get 9 with a remainder of 52.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we take 819 away from 871, we end up with 52.
Append the next digit (0) from the dividend to 52 and continue with: 520 / 91

On to step 4:
91 goes into 520 5 times with a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 95.0
The remainder is 65 after subtracting 455 from 520.
Append the next digit (0) from the dividend to 65 and continue with: 650 / 91

Going ahead to step 5:
If we divide 650 by 91, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 957.0
Subtract 637 from 650 to get 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 91

Let's proceed to step 6:
The number 91 fits into 133 1 times, leaving a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 9571.0
If we subtract 91 from 133, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
420 divided by 91 is 4 with a remainder of 56.
The next digit of our result is 4. 
Result so far: 9571.4
Subtracting 364 from 420 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 8:
560 divided by 91 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 9571.46
Subtract 546 from 560 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 9:
140 divided by 91 is 1 with a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 9571.461
Deduct 91 from 140 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 10:
91 goes into 490 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 9571.4615
The remainder is 35 after subtracting 455 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 11:
When dividing 350 by 91, we get 3 with a remainder of 77.
Write down 3 as next digit of the result. 
Result so far: 9571.46153
Subtracting 273 from 350 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 12:
91 goes into 770 8 times with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 9571.461538
Deduct 728 from 770 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 13:
420 divided by 91 is 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 9571.4615384
Deduct 364 from 420 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 14:
560 divided by 91 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 9571.46153846
If we subtract 546 from 560, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 9571.46153846 with a remaining 1.4e-08.