421506 ÷ 89 
The aim is to understand the frequency of 89 in 421506.

Advancing to step 1:
89 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 89

Going ahead to step 2:
42 divided by 89 is 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 89

Advancing to step 3:
89 goes into 421 4 times with a remainder of 65.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 65 after subtracting 356 from 421.
Fetch the next digit (5) from the dividend, attach it to 65 and continue: 655 / 89

Step 4:
The number 89 fits into 655 7 times, leaving a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 47.0
Subtract 623 from 655 to get 32.
Include the next digit (0) from the dividend after 32, then repeat: 320 / 89

Going ahead to step 5:
The number 89 fits into 320 3 times, leaving a remainder of 53.
Write down 3 as next digit of the result. 
Result so far: 473.0
Subtracting 267 from 320 leaves us with 53.
Take the next digit (6) from the dividend and append it to 53, then repeat: 536 / 89

Let's proceed to step 6:
The number 89 fits into 536 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 4736.0
Subtract 534 from 536 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 89, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 4736.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
89 can be fit into 200 2 times, resulting in a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 4736.02
The remainder is 22 after subtracting 178 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
220 divided by 89 is 2 with a remainder of 42.
The next digit of our result is 2. 
Result so far: 4736.022
The remainder is 42 after subtracting 178 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

After the division, we end up with 4736.022 and a remainder of 0.0042.