821171 ÷ 89 
The aim is to understand the frequency of 89 in 821171.

On to step 1:
8 divided by 89 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 89

Moving on to step 2:
If we divide 82 by 89, we get 0 and a remainder of 82.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 82 after subtracting 0 from 82.
Append the next digit (1) from the dividend to 82 and continue with: 821 / 89

Let's proceed to step 3:
821 divided by 89 is 9 with a remainder of 20.
The next digit of our result is 9. 
Result so far: 9.0
If we subtract 801 from 821, we get 20.
Bring next digit (1) of the dividend behind the 20 and repeat the process: 201 / 89

On to step 4:
89 can be fit into 201 2 times, resulting in a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 92.0
Subtract 178 from 201 to get 23.
Append the next digit (7) from the dividend to 23 and continue with: 237 / 89

Going ahead to step 5:
89 can be fit into 237 2 times, resulting in a remainder of 59.
Record the quotient 2 as the next digit in the result. 
Result so far: 922.0
Subtract 178 from 237 to get 59.
Append the next digit (1) from the dividend to 59 and continue with: 591 / 89

Step 6:
If we divide 591 by 89, we get 6 and a remainder of 57.
The number 6 becomes the next digit in our result. 
Result so far: 9226.0
Subtracting 534 from 591 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
If we divide 570 by 89, we get 6 and a remainder of 36.
The next digit of our result is 6. 
Result so far: 9226.6
The remainder is 36 after subtracting 534 from 570.
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 8:
If we divide 360 by 89, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 9226.64
Subtracting 356 from 360 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
89 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 9226.64
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
The number 89 fits into 400 4 times, leaving a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 9226.6404
Subtract 356 from 400 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 11:
89 can be fit into 440 4 times, resulting in a remainder of 84.
The number 4 becomes the next digit in our result. 
Result so far: 9226.64044
Subtract 356 from 440 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

In conclusion, the division gives 9226.64044 with a balance of 8.4e-05.