735311 ÷ 65 
The aim is to understand the frequency of 65 in 735311.

Let's proceed to step 1:
65 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 65

Advancing to step 2:
65 goes into 73 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 65 from 73 to get 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 65

Step 3:
When dividing 85 by 65, we get 1 with a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 65 from 85 and we're left with 20.
Include the next digit (3) from the dividend after 20, then repeat: 203 / 65

Advancing to step 4:
65 goes into 203 3 times with a remainder of 8.
The next digit of our result is 3. 
Result so far: 113.0
Subtract 195 from 203 to get 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 65

Step 5:
81 divided by 65 is 1 with a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1131.0
Subtract 65 from 81 to get 16.
Take the next digit (1) from the dividend and append it to 16, then repeat: 161 / 65

Let's proceed to step 6:
65 can be fit into 161 2 times, resulting in a remainder of 31.
The number 2 becomes the next digit in our result. 
Result so far: 11312.0
If we subtract 130 from 161, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
When dividing 310 by 65, we get 4 with a remainder of 50.
The number 4 becomes the next digit in our result. 
Result so far: 11312.4
If we take 260 away from 310, we end up 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 8:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 11312.47
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.

Moving on to step 9:
When dividing 450 by 65, we get 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 11312.476
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.

Going ahead to step 10:
65 goes into 600 9 times with a remainder of 15.
The next digit of our result is 9. 
Result so far: 11312.4769
Subtracting 585 from 600 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.

Advancing to step 11:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 11312.47692
Subtract 130 from 150 to get 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 12:
65 can be fit into 200 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 11312.476923
Subtract 195 from 200 to get 5.
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 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 11312.476923
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.

Going ahead to step 14:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 11312.47692307
Deduct 455 from 500 and we're left 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.

In conclusion, the division gives 11312.47692307 with a balance of 4.5e-08.