141622 ÷ 97 
The aim is to understand the frequency of 97 in 141622.

Let's proceed to step 1:
When dividing 1 by 97, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 97

Step 2:
The number 97 fits into 14 0 times, leaving a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 97

Step 3:
The number 97 fits into 141 1 times, leaving a remainder of 44.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 97 from 141 leaves us with 44.
Include the next digit (6) from the dividend after 44, then repeat: 446 / 97

Advancing to step 4:
If we divide 446 by 97, we get 4 and a remainder of 58.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we take 388 away from 446, we end up with 58.
Take the next digit (2) from the dividend and append it to 58, then repeat: 582 / 97

On to step 5:
97 can be fit into 582 6 times, resulting in a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 146.0
Subtracting 582 from 582 leaves us with 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 97

Moving on to step 6:
The number 97 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 1460.0
Deduct 0 from 2 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
When dividing 20 by 97, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 1460.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
If we divide 200 by 97, we get 2 and a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 1460.02
Deduct 194 from 200 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
The number 97 fits into 60 0 times, leaving a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 1460.02
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 10:
97 can be fit into 600 6 times, resulting in a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 1460.0206
If we take 582 away from 600, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
97 goes into 180 1 times with a remainder of 83.
Use 1 as the next digit of our solution. 
Result so far: 1460.02061
Subtracting 97 from 180 leaves us with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Advancing to step 12:
When dividing 830 by 97, we get 8 with a remainder of 54.
Use 8 as the next digit of our solution. 
Result so far: 1460.020618
If we take 776 away from 830, we end up 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.

Step 13:
The number 97 fits into 540 5 times, leaving a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 1460.0206185
If we subtract 485 from 540, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 14:
If we divide 550 by 97, we get 5 and a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 1460.02061855
Deduct 485 from 550 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final result is 1460.02061855 with a remainder of 6.5e-08.