96636501 divided by 409 
The aim is to understand the frequency of 409 in 96636501.

Going ahead to step 1:
9 divided by 409 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 409

Advancing to step 2:
If we divide 96 by 409, we get 0 and a remainder of 96.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 96, we get 96.
Fetch the next digit (6) from the dividend, attach it to 96 and continue: 966 / 409

Moving on to step 3:
966 divided by 409 is 2 with a remainder of 148.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 818 away from 966, we end up with 148.
Fetch the next digit (3) from the dividend, attach it to 148 and continue: 1483 / 409

Going ahead to step 4:
1483 divided by 409 is 3 with a remainder of 256.
The next digit of our result is 3. 
Result so far: 23.0
Deduct 1227 from 1483 and we're left with 256.
Take the next digit (6) from the dividend and append it to 256, then repeat: 2566 / 409

Step 5:
2566 divided by 409 is 6 with a remainder of 112.
Write down 6 as next digit of the result. 
Result so far: 236.0
If we subtract 2454 from 2566, we get 112.
Append the next digit (5) from the dividend to 112 and continue with: 1125 / 409

Advancing to step 6:
409 can be fit into 1125 2 times, resulting in a remainder of 307.
The next digit of our result is 2. 
Result so far: 2362.0
If we take 818 away from 1125, we end up with 307.
Include the next digit (0) from the dividend after 307, then repeat: 3070 / 409

Advancing to step 7:
When dividing 3070 by 409, we get 7 with a remainder of 207.
Record the quotient 7 as the next digit in the result. 
Result so far: 23627.0
Subtracting 2863 from 3070 leaves us with 207.
Append the next digit (1) from the dividend to 207 and continue with: 2071 / 409

Step 8:
2071 divided by 409 is 5 with a remainder of 26.
Put 5 as the next digit of the answer. 
Result so far: 236275.0
Subtracting 2045 from 2071 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 9:
409 can be fit into 260 0 times, resulting in a remainder of 260.
The number 0 becomes the next digit in our result. 
Result so far: 236275.0
The remainder is 260 after subtracting 0 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Let's proceed to step 10:
If we divide 2600 by 409, we get 6 and a remainder of 146.
Write down 6 as next digit of the result. 
Result so far: 236275.06
Subtract 2454 from 2600 to get 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Advancing to step 11:
If we divide 1460 by 409, we get 3 and a remainder of 233.
Put 3 as the next digit of the answer. 
Result so far: 236275.063
Subtract 1227 from 1460 to get 233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2330, and continue the process.

Going ahead to step 12:
The number 409 fits into 2330 5 times, leaving a remainder of 285.
Use 5 as the next digit of our solution. 
Result so far: 236275.0635
If we take 2045 away from 2330, we end up with 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Let's proceed to step 13:
2850 divided by 409 is 6 with a remainder of 396.
Use 6 as the next digit of our solution. 
Result so far: 236275.06356
Subtract 2454 from 2850 to get 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Moving on to step 14:
If we divide 3960 by 409, we get 9 and a remainder of 279.
The next digit of our result is 9. 
Result so far: 236275.063569
Subtract 3681 from 3960 to get 279.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2790, and continue the process.

Moving on to step 15:
The number 409 fits into 2790 6 times, leaving a remainder of 336.
Put 6 as the next digit of the answer. 
Result so far: 236275.0635696
The remainder is 336 after subtracting 2454 from 2790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Let's proceed to step 16:
The number 409 fits into 3360 8 times, leaving a remainder of 88.
Put 8 as the next digit of the answer. 
Result so far: 236275.06356968
Subtract 3272 from 3360 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

The final result is 236275.06356968 with a remainder of 8.8e-08.