We look at the division of 872166 by 90 
We're looking to find how many times 90 goes into 872166.

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
If we subtract 0 from 8, we get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 90

Advancing to step 2:
87 divided by 90 is 0 with a remainder of 87.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 87 and we're left with 87.
Bring next digit (2) of the dividend behind the 87 and repeat the process: 872 / 90

Going ahead to step 3:
872 divided by 90 is 9 with a remainder of 62.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 810 from 872 to get 62.
Append the next digit (1) from the dividend to 62 and continue with: 621 / 90

On to step 4:
If we divide 621 by 90, we get 6 and a remainder of 81.
Use 6 as the next digit of our solution. 
Result so far: 96.0
Subtracting 540 from 621 leaves us with 81.
Append the next digit (6) from the dividend to 81 and continue with: 816 / 90

On to step 5:
90 can be fit into 816 9 times, resulting in a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 969.0
The remainder is 6 after subtracting 810 from 816.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 90

Moving on to step 6:
90 goes into 66 0 times with a remainder of 66.
Record the quotient 0 as the next digit in the result. 
Result so far: 9690.0
If we subtract 0 from 66, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 7:
When dividing 660 by 90, we get 7 with a remainder of 30.
Write down 7 as next digit of the result. 
Result so far: 9690.7
If we take 630 away from 660, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
90 can be fit into 300 3 times, resulting in a remainder of 30.
The next digit of our result is 3. 
Result so far: 9690.73
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
90 goes into 300 3 times with a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 9690.733
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 9690.733 with a balance of 0.003.