We look at the division of 416534 by 65 
The aim is to understand the frequency of 65 in 416534.

Moving on to step 1:
65 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 65

On to step 2:
When dividing 41 by 65, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Append the next digit (6) from the dividend to 41 and continue with: 416 / 65

Step 3:
65 can be fit into 416 6 times, resulting in a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 390 from 416 to get 26.
Include the next digit (5) from the dividend after 26, then repeat: 265 / 65

On to step 4:
If we divide 265 by 65, we get 4 and a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 64.0
If we take 260 away from 265, we end up with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 65

On to step 5:
When dividing 53 by 65, we get 0 with a remainder of 53.
Write down 0 as next digit of the result. 
Result so far: 640.0
The remainder is 53 after subtracting 0 from 53.
Bring next digit (4) of the dividend behind the 53 and repeat the process: 534 / 65

On to step 6:
The number 65 fits into 534 8 times, leaving a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 6408.0
If we take 520 away from 534, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
65 can be fit into 140 2 times, resulting in a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 6408.2
Subtract 130 from 140 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
65 can be fit into 100 1 times, resulting in a remainder of 35.
The next digit of our result is 1. 
Result so far: 6408.21
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 9:
65 can be fit into 350 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 6408.215
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
250 divided by 65 is 3 with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 6408.2153
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.

On to step 11:
65 goes into 550 8 times with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 6408.21538
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
When dividing 300 by 65, we get 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 6408.215384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
400 divided by 65 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 6408.2153846
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.

Step 14:
The number 65 fits into 100 1 times, leaving a remainder of 35.
The next digit of our result is 1. 
Result so far: 6408.21538461
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 6408.21538461, and the remainder is 3.5e-08.