581085 ÷ 81 
We want to divide 581085 by 81.

Going ahead to step 1:
When dividing 5 by 81, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 81

Advancing to step 2:
The number 81 fits into 58 0 times, leaving a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Append the next digit (1) from the dividend to 58 and continue with: 581 / 81

Step 3:
If we divide 581 by 81, we get 7 and a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 567 from 581 and we're left with 14.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 81

On to step 4:
The number 81 fits into 140 1 times, leaving a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 71.0
If we take 81 away from 140, we end up with 59.
Include the next digit (8) from the dividend after 59, then repeat: 598 / 81

Step 5:
The number 81 fits into 598 7 times, leaving a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 717.0
Deduct 567 from 598 and we're left with 31.
Append the next digit (5) from the dividend to 31 and continue with: 315 / 81

Let's proceed to step 6:
The number 81 fits into 315 3 times, leaving a remainder of 72.
Write down 3 as next digit of the result. 
Result so far: 7173.0
Subtract 243 from 315 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 7:
720 divided by 81 is 8 with a remainder of 72.
The next digit of our result is 8. 
Result so far: 7173.8
Subtracting 648 from 720 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 8:
If we divide 720 by 81, we get 8 and a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 7173.88
Subtract 648 from 720 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final outcome is 7173.88, with a leftover of 0.072.