We look at the division of 7771 by 89 
The aim is to understand the frequency of 89 in 7771.

Advancing to step 1:
89 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 89

Advancing to step 2:
89 can be fit into 77 0 times, resulting in a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Append the next digit (7) from the dividend to 77 and continue with: 777 / 89

Advancing to step 3:
When dividing 777 by 89, we get 8 with a remainder of 65.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 712 from 777 and we're left with 65.
Append the next digit (1) from the dividend to 65 and continue with: 651 / 89

Step 4:
89 can be fit into 651 7 times, resulting in a remainder of 28.
Write down 7 as next digit of the result. 
Result so far: 87.0
The remainder is 28 after subtracting 623 from 651.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 5:
89 goes into 280 3 times with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 87.3
If we subtract 267 from 280, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 6:
When dividing 130 by 89, we get 1 with a remainder of 41.
Write down 1 as next digit of the result. 
Result so far: 87.31
If we take 89 away from 130, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 7:
When dividing 410 by 89, we get 4 with a remainder of 54.
Write down 4 as next digit of the result. 
Result so far: 87.314
The remainder is 54 after subtracting 356 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 8:
When dividing 540 by 89, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 87.3146
Subtracting 534 from 540 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
60 divided by 89 is 0 with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 87.3146
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 10:
600 divided by 89 is 6 with a remainder of 66.
Write down 6 as next digit of the result. 
Result so far: 87.314606
The remainder is 66 after subtracting 534 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 11:
89 goes into 660 7 times with a remainder of 37.
Write down 7 as next digit of the result. 
Result so far: 87.3146067
Subtracting 623 from 660 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 12:
370 divided by 89 is 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 87.31460674
If we subtract 356 from 370, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 87.31460674 with a remainder of 1.4e-08.