We look at the division of 560584 by 3 
The aim is to understand the frequency of 3 in 560584.

Let's proceed to step 1:
The number 3 fits into 5 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 3 from 5 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

On to step 2:
3 can be fit into 26 8 times, resulting in a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
If we subtract 24 from 26, we get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Going ahead to step 3:
If we divide 20 by 3, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 186.0
Deduct 18 from 20 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 3

Moving on to step 4:
25 divided by 3 is 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 1868.0
Subtracting 24 from 25 leaves us with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 3

On to step 5:
When dividing 18 by 3, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 18686.0
Deduct 18 from 18 and we're left with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 3

Going ahead to step 6:
If we divide 4 by 3, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 186861.0
Subtracting 3 from 4 leaves us 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.

Step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 186861.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 186861.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 186861.33 and a remainder of 0.001.