We're dividing 581864 by 9 
Our goal is to divide 581864 by 9.

Advancing to step 1:
9 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 9

Going ahead to step 2:
The number 9 fits into 58 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 54 from 58 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 9

On to step 3:
41 divided by 9 is 4 with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
If we take 36 away from 41, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 9

Step 4:
9 can be fit into 58 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 646.0
Subtracting 54 from 58 leaves us with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 9

On to step 5:
The number 9 fits into 46 5 times, leaving a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 6465.0
The remainder is 1 after subtracting 45 from 46.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 9

Let's proceed to step 6:
14 divided by 9 is 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 64651.0
If we take 9 away from 14, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
9 can be fit into 50 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 64651.5
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
When dividing 50 by 9, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 64651.55
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 64651.55, and the remainder is 0.005.