We're dividing 559197 by 6 
We're looking to find how many times 6 goes into 559197.

Let's proceed to step 1:
If we divide 5 by 6, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 6

Step 2:
When dividing 55 by 6, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we take 54 away from 55, we end up with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 6

On to step 3:
6 goes into 19 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 93.0
The remainder is 1 after subtracting 18 from 19.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 6

Advancing to step 4:
11 divided by 6 is 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 931.0
Subtract 6 from 11 to get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 6

Going ahead to step 5:
If we divide 59 by 6, we get 9 and a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 9319.0
Deduct 54 from 59 and we're left with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 6

Step 6:
If we divide 57 by 6, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 93199.0
Subtracting 54 from 57 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
6 goes into 30 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 93199.5
Subtract 30 from 30 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
6 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 93199.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
When dividing 0 by 6, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 93199.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 93199.5 and a remainder of 0.0.