581604 ÷ 18 
We're looking to find how many times 18 goes into 581604.

Step 1:
The number 18 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 18

Advancing to step 2:
When dividing 58 by 18, we get 3 with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 4 after subtracting 54 from 58.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 18

Let's proceed to step 3:
41 divided by 18 is 2 with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
Subtracting 36 from 41 leaves us with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 18

On to step 4:
18 can be fit into 56 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 323.0
If we take 54 away from 56, we end up with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 18

Going ahead to step 5:
If we divide 20 by 18, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 3231.0
Deduct 18 from 20 and we're left with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 18

Moving on to step 6:
18 can be fit into 24 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 32311.0
Subtracting 18 from 24 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.

Step 7:
The number 18 fits into 60 3 times, leaving a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 32311.3
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
18 can be fit into 60 3 times, resulting in a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 32311.33
Subtract 54 from 60 to get 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 final outcome is 32311.33, with a leftover of 0.006.