313442 ÷ 97 
The aim is to understand the frequency of 97 in 313442.

Moving on to step 1:
97 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 97

Step 2:
When dividing 31 by 97, we get 0 with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 97

Step 3:
When dividing 313 by 97, we get 3 with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 291 from 313, we get 22.
Append the next digit (4) from the dividend to 22 and continue with: 224 / 97

Step 4:
When dividing 224 by 97, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 32.0
If we subtract 194 from 224, we get 30.
Append the next digit (4) from the dividend to 30 and continue with: 304 / 97

Going ahead to step 5:
304 divided by 97 is 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 323.0
Subtract 291 from 304 to get 13.
Take the next digit (2) from the dividend and append it to 13, then repeat: 132 / 97

Advancing to step 6:
The number 97 fits into 132 1 times, leaving a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 3231.0
The remainder is 35 after subtracting 97 from 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
350 divided by 97 is 3 with a remainder of 59.
Record the quotient 3 as the next digit in the result. 
Result so far: 3231.3
Subtract 291 from 350 to get 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 8:
When dividing 590 by 97, we get 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 3231.36
The remainder is 8 after subtracting 582 from 590.
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 9:
80 divided by 97 is 0 with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 3231.36
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 10:
If we divide 800 by 97, we get 8 and a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 3231.3608
If we take 776 away from 800, we end up 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.

Let's proceed to step 11:
97 can be fit into 240 2 times, resulting in a remainder of 46.
Use 2 as the next digit of our solution. 
Result so far: 3231.36082
Subtracting 194 from 240 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 12:
The number 97 fits into 460 4 times, leaving a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 3231.360824
If we subtract 388 from 460, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 13:
The number 97 fits into 720 7 times, leaving a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 3231.3608247
Subtract 679 from 720 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 14:
410 divided by 97 is 4 with a remainder of 22.
The next digit of our result is 4. 
Result so far: 3231.36082474
If we take 388 away from 410, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 3231.36082474, and the remainder is 2.2e-08.