871729 ÷ 90 
Let's see how many times 90 fits into 871729.

Step 1:
8 divided by 90 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 90

Moving on to step 2:
90 goes into 87 0 times with a remainder of 87.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 87, we end up with 87.
Grab the next digit (1) from the dividend, add it to 87, then carry on: 871 / 90

Let's proceed to step 3:
When dividing 871 by 90, we get 9 with a remainder of 61.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 810 from 871 and we're left with 61.
Include the next digit (7) from the dividend after 61, then repeat: 617 / 90

On to step 4:
The number 90 fits into 617 6 times, leaving a remainder of 77.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Deduct 540 from 617 and we're left with 77.
Take the next digit (2) from the dividend and append it to 77, then repeat: 772 / 90

Advancing to step 5:
If we divide 772 by 90, we get 8 and a remainder of 52.
The next digit of our result is 8. 
Result so far: 968.0
Subtracting 720 from 772 leaves us with 52.
Append the next digit (9) from the dividend to 52 and continue with: 529 / 90

Step 6:
90 can be fit into 529 5 times, resulting in a remainder of 79.
Write down 5 as next digit of the result. 
Result so far: 9685.0
Subtracting 450 from 529 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 7:
790 divided by 90 is 8 with a remainder of 70.
Record the quotient 8 as the next digit in the result. 
Result so far: 9685.8
Deduct 720 from 790 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 8:
90 goes into 700 7 times with a remainder of 70.
Record the quotient 7 as the next digit in the result. 
Result so far: 9685.87
The remainder is 70 after subtracting 630 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 9:
The number 90 fits into 700 7 times, leaving a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 9685.877
The remainder is 70 after subtracting 630 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

In conclusion, the division gives 9685.877 with a balance of 0.007.