We look at the division of 7705957 by 409 
The aim is to understand the frequency of 409 in 7705957.

Let's proceed to step 1:
409 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 409

Going ahead to step 2:
If we divide 77 by 409, we get 0 and a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 77 leaves us with 77.
Include the next digit (0) from the dividend after 77, then repeat: 770 / 409

Advancing to step 3:
409 can be fit into 770 1 times, resulting in a remainder of 361.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 361 after subtracting 409 from 770.
Take the next digit (5) from the dividend and append it to 361, then repeat: 3615 / 409

On to step 4:
The number 409 fits into 3615 8 times, leaving a remainder of 343.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Deduct 3272 from 3615 and we're left with 343.
Take the next digit (9) from the dividend and append it to 343, then repeat: 3439 / 409

On to step 5:
409 goes into 3439 8 times with a remainder of 167.
Record the quotient 8 as the next digit in the result. 
Result so far: 188.0
Subtracting 3272 from 3439 leaves us with 167.
Append the next digit (5) from the dividend to 167 and continue with: 1675 / 409

Let's proceed to step 6:
409 goes into 1675 4 times with a remainder of 39.
Write down 4 as next digit of the result. 
Result so far: 1884.0
Subtracting 1636 from 1675 leaves us with 39.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 409

Step 7:
409 can be fit into 397 0 times, resulting in a remainder of 397.
The next digit of our result is 0. 
Result so far: 18840.0
Subtract 0 from 397 to get 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Let's proceed to step 8:
3970 divided by 409 is 9 with a remainder of 289.
Put 9 as the next digit of the answer. 
Result so far: 18840.9
Subtract 3681 from 3970 to get 289.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2890, and continue the process.

Let's proceed to step 9:
409 can be fit into 2890 7 times, resulting in a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 18840.97
If we take 2863 away from 2890, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 10:
When dividing 270 by 409, we get 0 with a remainder of 270.
The next digit of our result is 0. 
Result so far: 18840.97
If we subtract 0 from 270, we get 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Advancing to step 11:
409 can be fit into 2700 6 times, resulting in a remainder of 246.
The next digit of our result is 6. 
Result so far: 18840.9706
If we subtract 2454 from 2700, we get 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Going ahead to step 12:
409 can be fit into 2460 6 times, resulting in a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 18840.97066
If we subtract 2454 from 2460, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 18840.97066, with a leftover of 6e-06.