We look at the division of 109534 by 45 
The aim is to understand the frequency of 45 in 109534.

Advancing to step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 45

Let's proceed to step 2:
10 divided by 45 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 45

Let's proceed to step 3:
When dividing 109 by 45, we get 2 with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 90 from 109, we get 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 45

Let's proceed to step 4:
When dividing 195 by 45, we get 4 with a remainder of 15.
Put 4 as the next digit of the answer. 
Result so far: 24.0
The remainder is 15 after subtracting 180 from 195.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 45

Advancing to step 5:
153 divided by 45 is 3 with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 243.0
Subtracting 135 from 153 leaves us with 18.
Append the next digit (4) from the dividend to 18 and continue with: 184 / 45

Let's proceed to step 6:
If we divide 184 by 45, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 2434.0
The remainder is 4 after subtracting 180 from 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
When dividing 40 by 45, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 2434.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
400 divided by 45 is 8 with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 2434.08
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
45 can be fit into 400 8 times, resulting in a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 2434.088
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 2434.088 with a remainder of 0.004.