We look at the division of 81591 by 9 
We're looking to find how many times 9 goes into 81591.

Moving on to step 1:
9 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 9

Step 2:
9 can be fit into 81 9 times, resulting in a remainder of 0.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 0 after subtracting 81 from 81.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 9

Step 3:
When dividing 5 by 9, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 90.0
If we take 0 away from 5, we end up with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 9

Moving on to step 4:
59 divided by 9 is 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 906.0
Subtracting 54 from 59 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 9

Advancing to step 5:
51 divided by 9 is 5 with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 9065.0
Subtracting 45 from 51 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 6:
If we divide 60 by 9, we get 6 and a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 9065.6
If we take 54 away from 60, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
The number 9 fits into 60 6 times, leaving a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 9065.66
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 9065.66, and the remainder is 0.006.