We're dividing 281669 by 65 
The aim is to understand the frequency of 65 in 281669.

Advancing to step 1:
When dividing 2 by 65, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 65

Let's proceed to step 2:
28 divided by 65 is 0 with a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 28 leaves us with 28.
Include the next digit (1) from the dividend after 28, then repeat: 281 / 65

On to step 3:
65 goes into 281 4 times with a remainder of 21.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 260 from 281 leaves us with 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 65

Advancing to step 4:
216 divided by 65 is 3 with a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Deduct 195 from 216 and we're left with 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 65

Let's proceed to step 5:
65 can be fit into 216 3 times, resulting in a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 433.0
The remainder is 21 after subtracting 195 from 216.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 65

On to step 6:
65 goes into 219 3 times with a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 4333.0
The remainder is 24 after subtracting 195 from 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
If we divide 240 by 65, we get 3 and a remainder of 45.
Record the quotient 3 as the next digit in the result. 
Result so far: 4333.3
If we take 195 away from 240, we end up 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.

On to step 8:
When dividing 450 by 65, we get 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 4333.36
Deduct 390 from 450 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
If we divide 600 by 65, we get 9 and a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 4333.369
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 10:
The number 65 fits into 150 2 times, leaving a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 4333.3692
Deduct 130 from 150 and we're left 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.

Moving on to step 11:
65 goes into 200 3 times with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 4333.36923
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.

Step 12:
When dividing 50 by 65, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 4333.36923
If we take 0 away from 50, 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.

Moving on to step 13:
500 divided by 65 is 7 with a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 4333.3692307
Subtracting 455 from 500 leaves us 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.

Moving on to step 14:
If we divide 450 by 65, we get 6 and a remainder of 60.
The next digit of our result is 6. 
Result so far: 4333.36923076
If we subtract 390 from 450, we 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.

The quotient of the division is 4333.36923076, and the remainder is 6e-08.