We look at the division of 674309 by 65 
The aim is to understand the frequency of 65 in 674309.

Let's proceed to step 1:
When dividing 6 by 65, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 65

On to step 2:
65 can be fit into 67 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 65 from 67 leaves us with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 65

Step 3:
If we divide 24 by 65, we get 0 and a remainder of 24.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 24 to get 24.
Take the next digit (3) from the dividend and append it to 24, then repeat: 243 / 65

Advancing to step 4:
The number 65 fits into 243 3 times, leaving a remainder of 48.
The number 3 becomes the next digit in our result. 
Result so far: 103.0
If we take 195 away from 243, we end up with 48.
Take the next digit (0) from the dividend and append it to 48, then repeat: 480 / 65

Advancing to step 5:
The number 65 fits into 480 7 times, leaving a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 1037.0
If we take 455 away from 480, we end up with 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 65

Step 6:
65 goes into 259 3 times with a remainder of 64.
Use 3 as the next digit of our solution. 
Result so far: 10373.0
Subtracting 195 from 259 leaves us 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.

Moving on to step 7:
65 can be fit into 640 9 times, resulting in a remainder of 55.
Put 9 as the next digit of the answer. 
Result so far: 10373.9
Subtracting 585 from 640 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 8:
When dividing 550 by 65, we get 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 10373.98
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
65 goes into 300 4 times with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 10373.984
If we subtract 260 from 300, 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.

On to step 10:
65 goes into 400 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 10373.9846
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
100 divided by 65 is 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 10373.98461
Subtracting 65 from 100 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 12:
65 goes into 350 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 10373.984615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 13:
65 can be fit into 250 3 times, resulting in a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 10373.9846153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 14:
The number 65 fits into 550 8 times, leaving a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 10373.98461538
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 10373.98461538 and a remainder of 3e-08.