We're dividing 307653 by 97 
The aim is to understand the frequency of 97 in 307653.

Advancing to step 1:
The number 97 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 97

Advancing to step 2:
97 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 97

On to step 3:
The number 97 fits into 307 3 times, leaving a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 291 from 307 to get 16.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 97

Moving on to step 4:
If we divide 166 by 97, we get 1 and a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 31.0
The remainder is 69 after subtracting 97 from 166.
Fetch the next digit (5) from the dividend, attach it to 69 and continue: 695 / 97

Moving on to step 5:
The number 97 fits into 695 7 times, leaving a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 317.0
If we subtract 679 from 695, we get 16.
Grab the next digit (3) from the dividend, add it to 16, then carry on: 163 / 97

Let's proceed to step 6:
If we divide 163 by 97, we get 1 and a remainder of 66.
Put 1 as the next digit of the answer. 
Result so far: 3171.0
If we subtract 97 from 163, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 7:
660 divided by 97 is 6 with a remainder of 78.
Write down 6 as next digit of the result. 
Result so far: 3171.6
Deduct 582 from 660 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 8:
The number 97 fits into 780 8 times, leaving a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 3171.68
Deduct 776 from 780 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
The number 97 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 3171.68
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
97 can be fit into 400 4 times, resulting in a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 3171.6804
Deduct 388 from 400 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
120 divided by 97 is 1 with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 3171.68041
If we subtract 97 from 120, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
If we divide 230 by 97, we get 2 and a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 3171.680412
Subtracting 194 from 230 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 13:
The number 97 fits into 360 3 times, leaving a remainder of 69.
Use 3 as the next digit of our solution. 
Result so far: 3171.6804123
If we subtract 291 from 360, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 14:
97 can be fit into 690 7 times, resulting in a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 3171.68041237
If we subtract 679 from 690, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 3171.68041237 with a remaining 1.1e-08.