We look at the division of 565513 by 6 
We want to figure out the number of times 565513 can be divided by 6.

Going ahead to step 1:
If we divide 5 by 6, we get 0 and 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.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 6

Going ahead to step 2:
56 divided by 6 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 2 after subtracting 54 from 56.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 6

On to step 3:
When dividing 25 by 6, we get 4 with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 94.0
The remainder is 1 after subtracting 24 from 25.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 6

Going ahead to step 4:
6 goes into 15 2 times with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 942.0
The remainder is 3 after subtracting 12 from 15.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 6

Step 5:
The number 6 fits into 31 5 times, leaving a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 9425.0
If we take 30 away from 31, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 6

Let's proceed to step 6:
If we divide 13 by 6, we get 2 and a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 94252.0
If we take 12 away from 13, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
The number 6 fits into 10 1 times, leaving a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 94252.1
Subtract 6 from 10 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
6 goes into 40 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 94252.16
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
When dividing 40 by 6, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 94252.166
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 94252.166 and a remainder of 0.0004.