We're dividing 442135 by 97 
The aim is to understand the frequency of 97 in 442135.

On to step 1:
The number 97 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 97

On to step 2:
If we divide 44 by 97, we get 0 and a remainder of 44.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 44 to get 44.
Include the next digit (2) from the dividend after 44, then repeat: 442 / 97

On to step 3:
442 divided by 97 is 4 with a remainder of 54.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 388 away from 442, we end up with 54.
Grab the next digit (1) from the dividend, add it to 54, then carry on: 541 / 97

Advancing to step 4:
The number 97 fits into 541 5 times, leaving a remainder of 56.
Write down 5 as next digit of the result. 
Result so far: 45.0
If we subtract 485 from 541, we get 56.
Append the next digit (3) from the dividend to 56 and continue with: 563 / 97

Going ahead to step 5:
563 divided by 97 is 5 with a remainder of 78.
Record the quotient 5 as the next digit in the result. 
Result so far: 455.0
Subtract 485 from 563 to get 78.
Take the next digit (5) from the dividend and append it to 78, then repeat: 785 / 97

Going ahead to step 6:
The number 97 fits into 785 8 times, leaving a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 4558.0
Deduct 776 from 785 and we're left with 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 7:
97 can be fit into 90 0 times, resulting in a remainder of 90.
The next digit of our result is 0. 
Result so far: 4558.0
Subtract 0 from 90 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 8:
97 can be fit into 900 9 times, resulting in a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 4558.09
The remainder is 27 after subtracting 873 from 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 9:
270 divided by 97 is 2 with a remainder of 76.
Write down 2 as next digit of the result. 
Result so far: 4558.092
Subtract 194 from 270 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 10:
760 divided by 97 is 7 with a remainder of 81.
Write down 7 as next digit of the result. 
Result so far: 4558.0927
If we subtract 679 from 760, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Advancing to step 11:
810 divided by 97 is 8 with a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 4558.09278
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.

Going ahead to step 12:
When dividing 340 by 97, we get 3 with a remainder of 49.
The next digit of our result is 3. 
Result so far: 4558.092783
If we take 291 away from 340, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 13:
When dividing 490 by 97, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4558.0927835
The remainder is 5 after subtracting 485 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
When dividing 50 by 97, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 4558.0927835
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 4558.0927835 with a remainder of 5e-08.