437054 ÷ 89 
The aim is to understand the frequency of 89 in 437054.

Let's proceed to step 1:
89 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 89

Going ahead to step 2:
If we divide 43 by 89, we get 0 and a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Bring next digit (7) of the dividend behind the 43 and repeat the process: 437 / 89

Going ahead to step 3:
89 can be fit into 437 4 times, resulting in a remainder of 81.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 356 from 437 leaves us with 81.
Grab the next digit (0) from the dividend, add it to 81, then carry on: 810 / 89

Moving on to step 4:
The number 89 fits into 810 9 times, leaving a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 49.0
The remainder is 9 after subtracting 801 from 810.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 89

Step 5:
89 goes into 95 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 491.0
The remainder is 6 after subtracting 89 from 95.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 89

On to step 6:
89 goes into 64 0 times with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 4910.0
If we subtract 0 from 64, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 7:
640 divided by 89 is 7 with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 4910.7
If we take 623 away from 640, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 8:
89 goes into 170 1 times with a remainder of 81.
The next digit of our result is 1. 
Result so far: 4910.71
If we subtract 89 from 170, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 9:
89 goes into 810 9 times with a remainder of 9.
The next digit of our result is 9. 
Result so far: 4910.719
If we subtract 801 from 810, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 10:
89 can be fit into 90 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 4910.7191
Deduct 89 from 90 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
The number 89 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 4910.7191
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
If we divide 100 by 89, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 4910.719101
Deduct 89 from 100 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 13:
The number 89 fits into 110 1 times, leaving a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 4910.7191011
Subtracting 89 from 110 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

In conclusion, the division gives 4910.7191011 with a balance of 2.1e-07.