121997 ÷ 65 
The aim is to understand the frequency of 65 in 121997.

Going ahead to step 1:
65 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 65

Going ahead to step 2:
65 goes into 12 0 times with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 65

Let's proceed to step 3:
65 goes into 121 1 times with a remainder of 56.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 65 from 121, we get 56.
Append the next digit (9) from the dividend to 56 and continue with: 569 / 65

Let's proceed to step 4:
65 goes into 569 8 times with a remainder of 49.
Use 8 as the next digit of our solution. 
Result so far: 18.0
If we take 520 away from 569, we end up with 49.
Fetch the next digit (9) from the dividend, attach it to 49 and continue: 499 / 65

Moving on to step 5:
When dividing 499 by 65, we get 7 with a remainder of 44.
The next digit of our result is 7. 
Result so far: 187.0
Subtract 455 from 499 to get 44.
Include the next digit (7) from the dividend after 44, then repeat: 447 / 65

Advancing to step 6:
65 goes into 447 6 times with a remainder of 57.
Record the quotient 6 as the next digit in the result. 
Result so far: 1876.0
The remainder is 57 after subtracting 390 from 447.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
65 can be fit into 570 8 times, resulting in a remainder of 50.
Put 8 as the next digit of the answer. 
Result so far: 1876.8
Subtracting 520 from 570 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
500 divided by 65 is 7 with a remainder of 45.
The next digit of our result is 7. 
Result so far: 1876.87
Subtracting 455 from 500 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 9:
65 goes into 450 6 times with a remainder of 60.
The next digit of our result is 6. 
Result so far: 1876.876
Subtract 390 from 450 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.

On to step 10:
When dividing 600 by 65, we get 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 1876.8769
Deduct 585 from 600 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 11:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 1876.87692
The remainder is 20 after subtracting 130 from 150.
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 12:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 1876.876923
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
65 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 1876.876923
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 14:
500 divided by 65 is 7 with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 1876.87692307
Subtract 455 from 500 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 1876.87692307, and the remainder is 4.5e-08.