514821 divided by 65 
The aim is to understand the frequency of 65 in 514821.

Let's proceed to step 1:
65 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 65

Let's proceed to step 2:
65 can be fit into 51 0 times, resulting in a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 65

Going ahead to step 3:
65 goes into 514 7 times with a remainder of 59.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 455 from 514, we get 59.
Take the next digit (8) from the dividend and append it to 59, then repeat: 598 / 65

Let's proceed to step 4:
If we divide 598 by 65, we get 9 and a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 79.0
Subtract 585 from 598 to get 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 65

Moving on to step 5:
132 divided by 65 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 792.0
Subtract 130 from 132 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 65

Moving on to step 6:
21 divided by 65 is 0 with a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 7920.0
The remainder is 21 after subtracting 0 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
210 divided by 65 is 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 7920.3
The remainder is 15 after subtracting 195 from 210.
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:
If we divide 150 by 65, we get 2 and a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 7920.32
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.

Step 9:
If we divide 200 by 65, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 7920.323
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
When dividing 50 by 65, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 7920.323
Subtract 0 from 50 to 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.

Advancing to 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: 7920.32307
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
When dividing 450 by 65, we get 6 with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 7920.323076
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.

Let's proceed to step 13:
600 divided by 65 is 9 with a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 7920.3230769
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.

Advancing to step 14:
150 divided by 65 is 2 with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 7920.32307692
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 7920.32307692, and the remainder is 2e-08.