We're dividing 157342 by 65 
The aim is to understand the frequency of 65 in 157342.

Step 1:
If we divide 1 by 65, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 65

Let's proceed to step 2:
The number 65 fits into 15 0 times, leaving a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 65

On to step 3:
157 divided by 65 is 2 with a remainder of 27.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 130 from 157 and we're left with 27.
Append the next digit (3) from the dividend to 27 and continue with: 273 / 65

Let's proceed to step 4:
The number 65 fits into 273 4 times, leaving a remainder of 13.
The next digit of our result is 4. 
Result so far: 24.0
Subtract 260 from 273 to get 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 65

Let's proceed to step 5:
When dividing 134 by 65, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 242.0
Subtract 130 from 134 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 65

Advancing to step 6:
65 goes into 42 0 times with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 2420.0
If we subtract 0 from 42, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
65 goes into 420 6 times with a remainder of 30.
The next digit of our result is 6. 
Result so far: 2420.6
Deduct 390 from 420 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
300 divided by 65 is 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 2420.64
If we subtract 260 from 300, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
65 goes into 400 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 2420.646
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.

Moving on to step 10:
If we divide 100 by 65, we get 1 and a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 2420.6461
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.

Going ahead to step 11:
350 divided by 65 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 2420.64615
The remainder is 25 after subtracting 325 from 350.
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 12:
250 divided by 65 is 3 with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 2420.646153
If we take 195 away from 250, we end up with 55.
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 13:
When dividing 550 by 65, we get 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 2420.6461538
Subtracting 520 from 550 leaves us with 30.
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 14:
65 can be fit into 300 4 times, resulting in a remainder of 40.
The next digit of our result is 4. 
Result so far: 2420.64615384
If we subtract 260 from 300, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 2420.64615384 with a remainder of 4e-08.