362969 ÷ 97 
The aim is to understand the frequency of 97 in 362969.

Step 1:
The number 97 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 97

Step 2:
97 goes into 36 0 times with a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 36, we end up with 36.
Append the next digit (2) from the dividend to 36 and continue with: 362 / 97

Going ahead to step 3:
362 divided by 97 is 3 with a remainder of 71.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 291 from 362, we get 71.
Include the next digit (9) from the dividend after 71, then repeat: 719 / 97

Moving on to step 4:
97 can be fit into 719 7 times, resulting in a remainder of 40.
The next digit of our result is 7. 
Result so far: 37.0
If we take 679 away from 719, we end up with 40.
Grab the next digit (6) from the dividend, add it to 40, then carry on: 406 / 97

Moving on to step 5:
The number 97 fits into 406 4 times, leaving a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 374.0
If we subtract 388 from 406, we get 18.
Take the next digit (9) from the dividend and append it to 18, then repeat: 189 / 97

Advancing to step 6:
When dividing 189 by 97, we get 1 with a remainder of 92.
Write down 1 as next digit of the result. 
Result so far: 3741.0
The remainder is 92 after subtracting 97 from 189.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

On to step 7:
When dividing 920 by 97, we get 9 with a remainder of 47.
The next digit of our result is 9. 
Result so far: 3741.9
The remainder is 47 after subtracting 873 from 920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 8:
If we divide 470 by 97, we get 4 and a remainder of 82.
Record the quotient 4 as the next digit in the result. 
Result so far: 3741.94
Deduct 388 from 470 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 9:
97 goes into 820 8 times with a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 3741.948
Subtracting 776 from 820 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 10:
97 can be fit into 440 4 times, resulting in a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 3741.9484
If we take 388 away from 440, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 11:
The number 97 fits into 520 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 3741.94845
Subtract 485 from 520 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 12:
If we divide 350 by 97, we get 3 and a remainder of 59.
Put 3 as the next digit of the answer. 
Result so far: 3741.948453
If we take 291 away from 350, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 13:
When dividing 590 by 97, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 3741.9484536
Deduct 582 from 590 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
The number 97 fits into 80 0 times, leaving a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 3741.9484536
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

After the division, we end up with 3741.9484536 and a remainder of 8e-08.