We're dividing 117658 by 65 
The aim is to understand the frequency of 65 in 117658.

On to step 1:
65 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 65

Step 2:
65 goes into 11 0 times with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 65

Going ahead to step 3:
65 can be fit into 117 1 times, resulting in a remainder of 52.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 65 away from 117, we end up with 52.
Append the next digit (6) from the dividend to 52 and continue with: 526 / 65

Advancing to step 4:
65 goes into 526 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 18.0
Subtract 520 from 526 to get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 65

Step 5:
65 goes into 65 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 181.0
If we subtract 65 from 65, we get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 65

Going ahead to step 6:
The number 65 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 1810.0
Subtracting 0 from 8 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
When dividing 80 by 65, we get 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 1810.1
Subtracting 65 from 80 leaves us 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.

On to step 8:
When dividing 150 by 65, we get 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 1810.12
Subtracting 130 from 150 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
When dividing 200 by 65, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 1810.123
Subtracting 195 from 200 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
The number 65 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 1810.123
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 11:
65 goes into 500 7 times with a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 1810.12307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 12:
65 goes into 450 6 times with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 1810.123076
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 13:
65 goes into 600 9 times with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 1810.1230769
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 14:
65 goes into 150 2 times with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 1810.12307692
If we take 130 away from 150, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 1810.12307692, and the remainder is 2e-08.