We divide 872084 by 90
We're looking to find how many times 90 goes into 872084.

Moving on to step 1:
90 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 90

Moving on to step 2:
If we divide 87 by 90, we get 0 and a remainder of 87.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 87, we end up with 87.
Grab the next digit (2) from the dividend, add it to 87, then carry on: 872 / 90

Moving on to step 3:
If we divide 872 by 90, we get 9 and a remainder of 62.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 810 from 872 leaves us with 62.
Fetch the next digit (0) from the dividend, attach it to 62 and continue: 620 / 90

Moving on to step 4:
90 goes into 620 6 times with a remainder of 80.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Subtracting 540 from 620 leaves us with 80.
Fetch the next digit (8) from the dividend, attach it to 80 and continue: 808 / 90

On to step 5:
90 can be fit into 808 8 times, resulting in a remainder of 88.
Use 8 as the next digit of our solution. 
Result so far: 968.0
Subtracting 720 from 808 leaves us with 88.
Grab the next digit (4) from the dividend, add it to 88, then carry on: 884 / 90

Going ahead to step 6:
When dividing 884 by 90, we get 9 with a remainder of 74.
Write down 9 as next digit of the result. 
Result so far: 9689.0
Subtract 810 from 884 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 7:
If we divide 740 by 90, we get 8 and a remainder of 20.
The next digit of our result is 8. 
Result so far: 9689.8
Subtracting 720 from 740 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:
90 can be fit into 200 2 times, resulting in a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 9689.82
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
The number 90 fits into 200 2 times, leaving a remainder of 20.
The next digit of our result is 2. 
Result so far: 9689.822
If we subtract 180 from 200, we 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.

The final result is 9689.822 with a remainder of 0.002.