581183 ÷ 6 
We're looking to find how many times 6 goes into 581183.

Moving on to step 1:
If we divide 5 by 6, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 6

Advancing to step 2:
6 can be fit into 58 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 54 away from 58, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 6

Moving on to step 3:
When dividing 41 by 6, we get 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
The remainder is 5 after subtracting 36 from 41.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 6

Advancing to step 4:
51 divided by 6 is 8 with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 968.0
Subtract 48 from 51 to get 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 6

Step 5:
When dividing 38 by 6, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 9686.0
If we subtract 36 from 38, we get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 6

Let's proceed to step 6:
If we divide 23 by 6, we get 3 and a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 96863.0
If we subtract 18 from 23, 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.

Let's proceed to step 7:
6 can be fit into 50 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 96863.8
Subtract 48 from 50 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.

On to step 8:
20 divided by 6 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 96863.83
Subtracting 18 from 20 leaves us 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.

Advancing to step 9:
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: 96863.833
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.

After the division, we end up with 96863.833 and a remainder of 0.0002.