We're dividing 414435 by 45 
The aim is to understand the frequency of 45 in 414435.

On to step 1:
45 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 45

Let's proceed to step 2:
45 can be fit into 41 0 times, resulting in a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (4) of the dividend behind the 41 and repeat the process: 414 / 45

Moving on to step 3:
When dividing 414 by 45, we get 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 405 from 414 to get 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 45

On to step 4:
When dividing 94 by 45, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 92.0
If we take 90 away from 94, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 45

Step 5:
The number 45 fits into 43 0 times, leaving a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 920.0
If we subtract 0 from 43, we get 43.
Include the next digit (5) from the dividend after 43, then repeat: 435 / 45

Going ahead to step 6:
45 can be fit into 435 9 times, resulting in a remainder of 30.
Use 9 as the next digit of our solution. 
Result so far: 9209.0
Subtract 405 from 435 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
300 divided by 45 is 6 with a remainder of 30.
The next digit of our result is 6. 
Result so far: 9209.6
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
If we divide 300 by 45, we get 6 and a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 9209.66
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 9209.66 with a remainder of 0.03.