11382636 ÷ 409 
The aim is to understand the frequency of 409 in 11382636.

Going ahead to step 1:
When dividing 1 by 409, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 409

Moving on to step 2:
If we divide 11 by 409, we get 0 and a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 409

Step 3:
409 can be fit into 113 0 times, resulting in a remainder of 113.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 113, we get 113.
Include the next digit (8) from the dividend after 113, then repeat: 1138 / 409

Step 4:
409 goes into 1138 2 times with a remainder of 320.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 818 from 1138, we get 320.
Include the next digit (2) from the dividend after 320, then repeat: 3202 / 409

Going ahead to step 5:
The number 409 fits into 3202 7 times, leaving a remainder of 339.
The next digit of our result is 7. 
Result so far: 27.0
The remainder is 339 after subtracting 2863 from 3202.
Take the next digit (6) from the dividend and append it to 339, then repeat: 3396 / 409

Moving on to step 6:
3396 divided by 409 is 8 with a remainder of 124.
Use 8 as the next digit of our solution. 
Result so far: 278.0
The remainder is 124 after subtracting 3272 from 3396.
Grab the next digit (3) from the dividend, add it to 124, then carry on: 1243 / 409

Moving on to step 7:
The number 409 fits into 1243 3 times, leaving a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 2783.0
The remainder is 16 after subtracting 1227 from 1243.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 409

Let's proceed to step 8:
166 divided by 409 is 0 with a remainder of 166.
Use 0 as the next digit of our solution. 
Result so far: 27830.0
Deduct 0 from 166 and we're left with 166.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

Going ahead to step 9:
409 goes into 1660 4 times with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 27830.4
Subtracting 1636 from 1660 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
409 goes into 240 0 times with a remainder of 240.
Record the quotient 0 as the next digit in the result. 
Result so far: 27830.4
If we subtract 0 from 240, we get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Let's proceed to step 11:
2400 divided by 409 is 5 with a remainder of 355.
Use 5 as the next digit of our solution. 
Result so far: 27830.405
Deduct 2045 from 2400 and we're left with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Moving on to step 12:
When dividing 3550 by 409, we get 8 with a remainder of 278.
Write down 8 as next digit of the result. 
Result so far: 27830.4058
Subtract 3272 from 3550 to get 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

Step 13:
If we divide 2780 by 409, we get 6 and a remainder of 326.
The number 6 becomes the next digit in our result. 
Result so far: 27830.40586
Subtract 2454 from 2780 to get 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Advancing to step 14:
409 can be fit into 3260 7 times, resulting in a remainder of 397.
Record the quotient 7 as the next digit in the result. 
Result so far: 27830.405867
Subtract 2863 from 3260 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.

Step 15:
When dividing 3970 by 409, we get 9 with a remainder of 289.
Use 9 as the next digit of our solution. 
Result so far: 27830.4058679
If we take 3681 away from 3970, we end up with 289.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2890, and continue the process.

On to step 16:
409 can be fit into 2890 7 times, resulting in a remainder of 27.
Record the quotient 7 as the next digit in the result. 
Result so far: 27830.40586797
Deduct 2863 from 2890 and we're left 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.

The quotient of the division is 27830.40586797, and the remainder is 2.7e-08.