We're dividing 875629 by 97 
The aim is to understand the frequency of 97 in 875629.

Step 1:
97 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 97

Advancing to step 2:
The number 97 fits into 87 0 times, leaving a remainder of 87.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 87 leaves us with 87.
Include the next digit (5) from the dividend after 87, then repeat: 875 / 97

On to step 3:
97 can be fit into 875 9 times, resulting in a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 873 from 875 and we're left with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 97

Moving on to step 4:
If we divide 26 by 97, we get 0 and a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 90.0
Deduct 0 from 26 and we're left with 26.
Grab the next digit (2) from the dividend, add it to 26, then carry on: 262 / 97

Going ahead to step 5:
262 divided by 97 is 2 with a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 902.0
Deduct 194 from 262 and we're left with 68.
Include the next digit (9) from the dividend after 68, then repeat: 689 / 97

Let's proceed to step 6:
97 goes into 689 7 times with a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 9027.0
The remainder is 10 after subtracting 679 from 689.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
When dividing 100 by 97, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 9027.1
The remainder is 3 after subtracting 97 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
When dividing 30 by 97, we get 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 9027.1
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
If we divide 300 by 97, we get 3 and a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 9027.103
If we subtract 291 from 300, 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.

Going ahead to step 10:
The number 97 fits into 90 0 times, leaving a remainder of 90.
The number 0 becomes the next digit in our result. 
Result so far: 9027.103
If we take 0 away from 90, we end up with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Going ahead to step 11:
The number 97 fits into 900 9 times, leaving a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 9027.10309
If we subtract 873 from 900, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 12:
97 can be fit into 270 2 times, resulting in a remainder of 76.
Put 2 as the next digit of the answer. 
Result so far: 9027.103092
If we take 194 away from 270, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 13:
If we divide 760 by 97, we get 7 and a remainder of 81.
The number 7 becomes the next digit in our result. 
Result so far: 9027.1030927
Subtracting 679 from 760 leaves us with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 14:
97 goes into 810 8 times with a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 9027.10309278
Subtracting 776 from 810 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The quotient of the division is 9027.10309278, and the remainder is 3.4e-08.