Let's divide 135724 by 65
The aim is to understand the frequency of 65 in 135724.

Advancing to step 1:
If we divide 1 by 65, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 65

Let's proceed to step 2:
65 goes into 13 0 times with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 65

Advancing to step 3:
65 goes into 135 2 times with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 130 from 135, we get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 65

Advancing to step 4:
If we divide 57 by 65, we get 0 and a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
If we take 0 away from 57, we end up with 57.
Include the next digit (2) from the dividend after 57, then repeat: 572 / 65

Step 5:
65 can be fit into 572 8 times, resulting in a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 208.0
The remainder is 52 after subtracting 520 from 572.
Grab the next digit (4) from the dividend, add it to 52, then carry on: 524 / 65

Moving on to step 6:
When dividing 524 by 65, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 2088.0
Subtract 520 from 524 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
65 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 2088.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
The number 65 fits into 400 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 2088.06
Subtracting 390 from 400 leaves us 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.

Going ahead to step 9:
100 divided by 65 is 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 2088.061
If we subtract 65 from 100, we 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.

Moving on to step 10:
The number 65 fits into 350 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 2088.0615
Deduct 325 from 350 and we're left 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.

Going ahead to step 11:
When dividing 250 by 65, we get 3 with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 2088.06153
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.

Going ahead to step 12:
If we divide 550 by 65, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 2088.061538
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.

Step 13:
If we divide 300 by 65, we get 4 and a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 2088.0615384
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.

Step 14:
65 can be fit into 400 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 2088.06153846
Deduct 390 from 400 and we're left 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.

The quotient of the division is 2088.06153846, and the remainder is 1e-08.