We look at the division of 966971 by 89 
The aim is to understand the frequency of 89 in 966971.

Moving on to step 1:
9 divided by 89 is 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 89

Advancing to step 2:
When dividing 96 by 89, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 7 after subtracting 89 from 96.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 89

Step 3:
When dividing 76 by 89, we get 0 with a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 76 to get 76.
Bring next digit (9) of the dividend behind the 76 and repeat the process: 769 / 89

Going ahead to step 4:
The number 89 fits into 769 8 times, leaving a remainder of 57.
Write down 8 as next digit of the result. 
Result so far: 108.0
The remainder is 57 after subtracting 712 from 769.
Include the next digit (7) from the dividend after 57, then repeat: 577 / 89

Going ahead to step 5:
The number 89 fits into 577 6 times, leaving a remainder of 43.
Record the quotient 6 as the next digit in the result. 
Result so far: 1086.0
If we take 534 away from 577, we end up with 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 89

Moving on to step 6:
When dividing 431 by 89, we get 4 with a remainder of 75.
Use 4 as the next digit of our solution. 
Result so far: 10864.0
The remainder is 75 after subtracting 356 from 431.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 7:
89 can be fit into 750 8 times, resulting in a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 10864.8
Subtract 712 from 750 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 8:
89 can be fit into 380 4 times, resulting in a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 10864.84
Deduct 356 from 380 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
If we divide 240 by 89, we get 2 and a remainder of 62.
The number 2 becomes the next digit in our result. 
Result so far: 10864.842
Subtract 178 from 240 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 10:
89 goes into 620 6 times with a remainder of 86.
The number 6 becomes the next digit in our result. 
Result so far: 10864.8426
Deduct 534 from 620 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 11:
When dividing 860 by 89, we get 9 with a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 10864.84269
The remainder is 59 after subtracting 801 from 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 12:
89 goes into 590 6 times with a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 10864.842696
Subtracting 534 from 590 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 13:
The number 89 fits into 560 6 times, leaving a remainder of 26.
The next digit of our result is 6. 
Result so far: 10864.8426966
Subtracting 534 from 560 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 10864.8426966, and the remainder is 2.6e-07.