We're dividing 566558 by 45 
The aim is to understand the frequency of 45 in 566558.

On to step 1:
When dividing 5 by 45, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 45

Moving on to step 2:
The number 45 fits into 56 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 45 from 56 and we're left with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 45

Advancing to step 3:
45 goes into 116 2 times with a remainder of 26.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 90 from 116 leaves us with 26.
Include the next digit (5) from the dividend after 26, then repeat: 265 / 45

Moving on to step 4:
45 goes into 265 5 times with a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 125.0
The remainder is 40 after subtracting 225 from 265.
Grab the next digit (5) from the dividend, add it to 40, then carry on: 405 / 45

Advancing to step 5:
The number 45 fits into 405 9 times, leaving a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 1259.0
Subtracting 405 from 405 leaves us with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 45

Let's proceed to step 6:
45 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 12590.0
Subtracting 0 from 8 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
80 divided by 45 is 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 12590.1
Deduct 45 from 80 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
350 divided by 45 is 7 with a remainder of 35.
The next digit of our result is 7. 
Result so far: 12590.17
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
The number 45 fits into 350 7 times, leaving a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 12590.177
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 12590.177, and the remainder is 0.0035.