741842 ÷ 97 
The aim is to understand the frequency of 97 in 741842.

Let's proceed to step 1:
When dividing 7 by 97, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 97

Moving on to step 2:
74 divided by 97 is 0 with a remainder of 74.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 74, we end up with 74.
Include the next digit (1) from the dividend after 74, then repeat: 741 / 97

Step 3:
The number 97 fits into 741 7 times, leaving a remainder of 62.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 679 from 741 to get 62.
Include the next digit (8) from the dividend after 62, then repeat: 628 / 97

Step 4:
If we divide 628 by 97, we get 6 and a remainder of 46.
The next digit of our result is 6. 
Result so far: 76.0
If we subtract 582 from 628, we get 46.
Bring next digit (4) of the dividend behind the 46 and repeat the process: 464 / 97

Step 5:
97 can be fit into 464 4 times, resulting in a remainder of 76.
Put 4 as the next digit of the answer. 
Result so far: 764.0
Subtract 388 from 464 to get 76.
Bring next digit (2) of the dividend behind the 76 and repeat the process: 762 / 97

Let's proceed to step 6:
If we divide 762 by 97, we get 7 and a remainder of 83.
Record the quotient 7 as the next digit in the result. 
Result so far: 7647.0
The remainder is 83 after subtracting 679 from 762.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Let's proceed to step 7:
The number 97 fits into 830 8 times, leaving a remainder of 54.
Record the quotient 8 as the next digit in the result. 
Result so far: 7647.8
Subtracting 776 from 830 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 8:
97 goes into 540 5 times with a remainder of 55.
The next digit of our result is 5. 
Result so far: 7647.85
If we take 485 away from 540, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 9:
97 can be fit into 550 5 times, resulting in a remainder of 65.
The next digit of our result is 5. 
Result so far: 7647.855
The remainder is 65 after subtracting 485 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Our division results in 7647.855 with a remaining 0.0065.