We look at the division of 585699 by 6 
The aim is to understand the frequency of 6 in 585699.

Step 1:
When dividing 5 by 6, we get 0 with 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.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 6

Let's proceed to step 2:
When dividing 58 by 6, we get 9 with a remainder of 4.
The next digit of our result is 9. 
Result so far: 9.0
If we take 54 away from 58, we end up with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 6

Going ahead to step 3:
If we divide 45 by 6, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 97.0
Deduct 42 from 45 and we're left with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 6

Going ahead to step 4:
The number 6 fits into 36 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 976.0
Subtracting 36 from 36 leaves us with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 6

Advancing to step 5:
When dividing 9 by 6, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 9761.0
Subtracting 6 from 9 leaves us with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 6

Moving on to step 6:
39 divided by 6 is 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 97616.0
Deduct 36 from 39 and we're left 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.

Moving on to step 7:
30 divided by 6 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 97616.5
The remainder is 0 after subtracting 30 from 30.
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 8:
If we divide 0 by 6, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 97616.5
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.

Step 9:
When dividing 0 by 6, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 97616.5
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.

The quotient of the division is 97616.5, and the remainder is 0.0.