We're dividing 10502 by 97 
The aim is to understand the frequency of 97 in 10502.

Going ahead to step 1:
When dividing 1 by 97, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 97

On to step 2:
97 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 97

Moving on to step 3:
97 goes into 105 1 times with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 97 from 105 leaves us with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 97

On to step 4:
If we divide 80 by 97, we get 0 and a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 80 and we're left with 80.
Grab the next digit (2) from the dividend, add it to 80, then carry on: 802 / 97

Moving on to step 5:
The number 97 fits into 802 8 times, leaving a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 108.0
If we subtract 776 from 802, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 6:
The number 97 fits into 260 2 times, leaving a remainder of 66.
The number 2 becomes the next digit in our result. 
Result so far: 108.2
Subtract 194 from 260 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 7:
The number 97 fits into 660 6 times, leaving a remainder of 78.
Write down 6 as next digit of the result. 
Result so far: 108.26
Deduct 582 from 660 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 8:
If we divide 780 by 97, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.268
If we subtract 776 from 780, we get 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:
97 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 108.268
If we subtract 0 from 40, we get 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:
When dividing 400 by 97, we get 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 108.26804
If we take 388 away from 400, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
The number 97 fits into 120 1 times, leaving a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 108.268041
If we take 97 away from 120, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 12:
If we divide 230 by 97, we get 2 and a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 108.2680412
Subtract 194 from 230 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 13:
When dividing 360 by 97, we get 3 with a remainder of 69.
Write down 3 as next digit of the result. 
Result so far: 108.26804123
If we subtract 291 from 360, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

After the division, we end up with 108.26804123 and a remainder of 6.9e-08.