456115 ÷ 65 
The aim is to understand the frequency of 65 in 456115.

Going ahead to step 1:
4 divided by 65 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 65

Let's proceed to step 2:
The number 65 fits into 45 0 times, leaving a remainder of 45.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 45 and we're left with 45.
Bring next digit (6) of the dividend behind the 45 and repeat the process: 456 / 65

Let's proceed to step 3:
65 can be fit into 456 7 times, resulting in a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 455 from 456 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 65

Going ahead to step 4:
65 goes into 11 0 times with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 70.0
Subtract 0 from 11 to get 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 65

Step 5:
If we divide 111 by 65, we get 1 and a remainder of 46.
Use 1 as the next digit of our solution. 
Result so far: 701.0
The remainder is 46 after subtracting 65 from 111.
Bring next digit (5) of the dividend behind the 46 and repeat the process: 465 / 65

Going ahead to step 6:
465 divided by 65 is 7 with a remainder of 10.
The next digit of our result is 7. 
Result so far: 7017.0
Subtract 455 from 465 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 7:
100 divided by 65 is 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 7017.1
Deduct 65 from 100 and we're left 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.

Let's proceed to step 8:
350 divided by 65 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 7017.15
If we take 325 away from 350, we end up 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 9:
The number 65 fits into 250 3 times, leaving a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 7017.153
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 10:
When dividing 550 by 65, we get 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 7017.1538
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.

Going ahead to step 11:
The number 65 fits into 300 4 times, leaving a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 7017.15384
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.

On to step 12:
When dividing 400 by 65, we get 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 7017.153846
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 13:
The number 65 fits into 100 1 times, leaving a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 7017.1538461
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.

Going ahead to step 14:
If we divide 350 by 65, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7017.15384615
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.

The quotient of the division is 7017.15384615, and the remainder is 2.5e-08.