We're dividing 341177 by 97 
The aim is to understand the frequency of 97 in 341177.

On to step 1:
If we divide 3 by 97, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 97

On to step 2:
97 goes into 34 0 times with a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Bring next digit (1) of the dividend behind the 34 and repeat the process: 341 / 97

Going ahead to step 3:
When dividing 341 by 97, we get 3 with a remainder of 50.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 291 from 341 and we're left with 50.
Append the next digit (1) from the dividend to 50 and continue with: 501 / 97

On to step 4:
97 goes into 501 5 times with a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Deduct 485 from 501 and we're left with 16.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 97

Let's proceed to step 5:
When dividing 167 by 97, we get 1 with a remainder of 70.
Record the quotient 1 as the next digit in the result. 
Result so far: 351.0
The remainder is 70 after subtracting 97 from 167.
Bring next digit (7) of the dividend behind the 70 and repeat the process: 707 / 97

Moving on to step 6:
97 can be fit into 707 7 times, resulting in a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 3517.0
Subtract 679 from 707 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
97 goes into 280 2 times with a remainder of 86.
The next digit of our result is 2. 
Result so far: 3517.2
If we take 194 away from 280, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 8:
97 can be fit into 860 8 times, resulting in a remainder of 84.
Put 8 as the next digit of the answer. 
Result so far: 3517.28
Deduct 776 from 860 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 9:
When dividing 840 by 97, we get 8 with a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 3517.288
If we take 776 away from 840, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 3517.288, and the remainder is 0.0064.