116800 ÷ 97 
The aim is to understand the frequency of 97 in 116800.

On to step 1:
The number 97 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 97

Advancing to step 2:
11 divided by 97 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 97

Going ahead to step 3:
If we divide 116 by 97, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 97 away from 116, we end up with 19.
Append the next digit (8) from the dividend to 19 and continue with: 198 / 97

Moving on to step 4:
When dividing 198 by 97, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we subtract 194 from 198, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 97

Advancing to step 5:
When dividing 40 by 97, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 120.0
Deduct 0 from 40 and we're left with 40.
Grab the next digit (0) from the dividend, add it to 40, then carry on: 400 / 97

On to step 6:
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: 1204.0
The remainder is 12 after subtracting 388 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
120 divided by 97 is 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 1204.1
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.

Step 8:
97 can be fit into 230 2 times, resulting in a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 1204.12
The remainder is 36 after subtracting 194 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
97 can be fit into 360 3 times, resulting in a remainder of 69.
The next digit of our result is 3. 
Result so far: 1204.123
The remainder is 69 after subtracting 291 from 360.
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 10:
690 divided by 97 is 7 with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 1204.1237
The remainder is 11 after subtracting 679 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
97 can be fit into 110 1 times, resulting in a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1204.12371
Subtract 97 from 110 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 12:
If we divide 130 by 97, we get 1 and a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 1204.123711
If we subtract 97 from 130, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Our division results in 1204.123711 with a remaining 3.3e-06.