We look at the division of 871463 by 90 
Let's see how many times 90 fits into 871463.

Moving on to step 1:
90 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 90

Let's proceed to step 2:
The number 90 fits into 87 0 times, leaving a remainder of 87.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Bring next digit (1) of the dividend behind the 87 and repeat the process: 871 / 90

Step 3:
The number 90 fits into 871 9 times, leaving a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we subtract 810 from 871, we get 61.
Include the next digit (4) from the dividend after 61, then repeat: 614 / 90

Step 4:
614 divided by 90 is 6 with a remainder of 74.
Put 6 as the next digit of the answer. 
Result so far: 96.0
Subtracting 540 from 614 leaves us with 74.
Include the next digit (6) from the dividend after 74, then repeat: 746 / 90

Step 5:
The number 90 fits into 746 8 times, leaving a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 968.0
Subtracting 720 from 746 leaves us with 26.
Grab the next digit (3) from the dividend, add it to 26, then carry on: 263 / 90

Advancing to step 6:
The number 90 fits into 263 2 times, leaving a remainder of 83.
The next digit of our result is 2. 
Result so far: 9682.0
Subtract 180 from 263 to get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Let's proceed to step 7:
When dividing 830 by 90, we get 9 with a remainder of 20.
The next digit of our result is 9. 
Result so far: 9682.9
Subtracting 810 from 830 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.

Moving on to step 8:
90 can be fit into 200 2 times, resulting in a remainder of 20.
The next digit of our result is 2. 
Result so far: 9682.92
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.

Going ahead to step 9:
200 divided by 90 is 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 9682.922
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 9682.922 with a balance of 0.002.