585518 ÷ 6 
We want to figure out the number of times 585518 can be divided by 6.

On to step 1:
The number 6 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 6

Moving on to step 2:
When dividing 58 by 6, we get 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 54 from 58 to get 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 6

Moving on to step 3:
6 goes into 45 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 97.0
Subtract 42 from 45 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 6

Step 4:
6 can be fit into 35 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 975.0
Deduct 30 from 35 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

Advancing to step 5:
When dividing 51 by 6, we get 8 with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 9758.0
Subtracting 48 from 51 leaves us with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 6

Going ahead to step 6:
6 can be fit into 38 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 97586.0
If we take 36 away from 38, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
When dividing 20 by 6, we get 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 97586.3
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 97586.33
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 97586.33 with a remainder of 0.002.