Let's divide 419657 by 65
The aim is to understand the frequency of 65 in 419657.

On to step 1:
65 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 65

Let's proceed to step 2:
41 divided by 65 is 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 65

On to step 3:
The number 65 fits into 419 6 times, leaving a remainder of 29.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 390 from 419 and we're left with 29.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 65

Let's proceed to step 4:
The number 65 fits into 296 4 times, leaving a remainder of 36.
The next digit of our result is 4. 
Result so far: 64.0
Subtracting 260 from 296 leaves us with 36.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 65

Let's proceed to step 5:
65 goes into 365 5 times with a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 645.0
Subtracting 325 from 365 leaves us with 40.
Include the next digit (7) from the dividend after 40, then repeat: 407 / 65

Advancing to step 6:
407 divided by 65 is 6 with a remainder of 17.
Use 6 as the next digit of our solution. 
Result so far: 6456.0
Deduct 390 from 407 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
65 can be fit into 170 2 times, resulting in a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 6456.2
If we take 130 away from 170, we end up 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:
65 can be fit into 400 6 times, resulting in a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 6456.26
Subtract 390 from 400 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.

Advancing to step 9:
When dividing 100 by 65, we get 1 with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 6456.261
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.

Let's proceed to step 10:
If we divide 350 by 65, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 6456.2615
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.

Step 11:
When dividing 250 by 65, we get 3 with a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 6456.26153
Subtract 195 from 250 to get 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:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 6456.261538
Subtract 520 from 550 to get 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 13:
65 goes into 300 4 times with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 6456.2615384
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.

Moving on to step 14:
65 goes into 400 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 6456.26153846
Subtract 390 from 400 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.

The final result is 6456.26153846 with a remainder of 1e-08.