159984 ÷ 45 
The aim is to understand the frequency of 45 in 159984.

Advancing to step 1:
45 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 45

Step 2:
If we divide 15 by 45, we get 0 and a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 45

Step 3:
45 can be fit into 159 3 times, resulting in a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 135 from 159 and we're left with 24.
Append the next digit (9) from the dividend to 24 and continue with: 249 / 45

Moving on to step 4:
45 goes into 249 5 times with a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 35.0
The remainder is 24 after subtracting 225 from 249.
Append the next digit (8) from the dividend to 24 and continue with: 248 / 45

Step 5:
248 divided by 45 is 5 with a remainder of 23.
The number 5 becomes the next digit in our result. 
Result so far: 355.0
Subtracting 225 from 248 leaves us with 23.
Grab the next digit (4) from the dividend, add it to 23, then carry on: 234 / 45

Let's proceed to step 6:
45 can be fit into 234 5 times, resulting in a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 3555.0
If we take 225 away from 234, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
45 goes into 90 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 3555.2
If we subtract 90 from 90, 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.

Step 8:
45 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 3555.2
Subtract 0 from 0 to 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 9:
45 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 3555.2
The remainder is 0 after subtracting 0 from 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 final result is 3555.2 with a remainder of 0.0.