We're dividing 43416 by 45 
The aim is to understand the frequency of 45 in 43416.

Going ahead to step 1:
4 divided by 45 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 45

Advancing to step 2:
45 goes into 43 0 times with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 45

Step 3:
434 divided by 45 is 9 with a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 405 from 434, we get 29.
Grab the next digit (1) from the dividend, add it to 29, then carry on: 291 / 45

Let's proceed to step 4:
If we divide 291 by 45, we get 6 and a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 96.0
If we subtract 270 from 291, we get 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 45

Going ahead to step 5:
When dividing 216 by 45, we get 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 964.0
If we subtract 180 from 216, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 6:
If we divide 360 by 45, we get 8 and a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 964.8
If we subtract 360 from 360, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
45 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 964.8
If we take 0 away from 0, we end up 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.

Let's proceed to step 8:
If we divide 0 by 45, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 964.8
If we subtract 0 from 0, we get 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 964.8, and the remainder is 0.0.