Let's divide 83561396 by 409
The aim is to understand the frequency of 409 in 83561396.

Advancing to step 1:
The number 409 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 409

Step 2:
83 divided by 409 is 0 with a remainder of 83.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 83, we end up with 83.
Append the next digit (5) from the dividend to 83 and continue with: 835 / 409

Let's proceed to step 3:
409 goes into 835 2 times with a remainder of 17.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 17 after subtracting 818 from 835.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 409

Let's proceed to step 4:
If we divide 176 by 409, we get 0 and a remainder of 176.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
The remainder is 176 after subtracting 0 from 176.
Include the next digit (1) from the dividend after 176, then repeat: 1761 / 409

Let's proceed to step 5:
409 can be fit into 1761 4 times, resulting in a remainder of 125.
The number 4 becomes the next digit in our result. 
Result so far: 204.0
Deduct 1636 from 1761 and we're left with 125.
Bring next digit (3) of the dividend behind the 125 and repeat the process: 1253 / 409

Step 6:
409 goes into 1253 3 times with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 2043.0
Deduct 1227 from 1253 and we're left with 26.
Bring next digit (9) of the dividend behind the 26 and repeat the process: 269 / 409

Advancing to step 7:
409 can be fit into 269 0 times, resulting in a remainder of 269.
Use 0 as the next digit of our solution. 
Result so far: 20430.0
Deduct 0 from 269 and we're left with 269.
Include the next digit (6) from the dividend after 269, then repeat: 2696 / 409

Going ahead to step 8:
409 goes into 2696 6 times with a remainder of 242.
Write down 6 as next digit of the result. 
Result so far: 204306.0
If we take 2454 away from 2696, we end up with 242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2420, and continue the process.

On to step 9:
When dividing 2420 by 409, we get 5 with a remainder of 375.
Put 5 as the next digit of the answer. 
Result so far: 204306.5
The remainder is 375 after subtracting 2045 from 2420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

Step 10:
409 can be fit into 3750 9 times, resulting in a remainder of 69.
The number 9 becomes the next digit in our result. 
Result so far: 204306.59
If we subtract 3681 from 3750, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 11:
When dividing 690 by 409, we get 1 with a remainder of 281.
The next digit of our result is 1. 
Result so far: 204306.591
Subtract 409 from 690 to get 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

On to step 12:
If we divide 2810 by 409, we get 6 and a remainder of 356.
Use 6 as the next digit of our solution. 
Result so far: 204306.5916
Deduct 2454 from 2810 and we're left with 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Step 13:
When dividing 3560 by 409, we get 8 with a remainder of 288.
The next digit of our result is 8. 
Result so far: 204306.59168
If we take 3272 away from 3560, we end up with 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

Step 14:
The number 409 fits into 2880 7 times, leaving a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 204306.591687
If we subtract 2863 from 2880, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 15:
The number 409 fits into 170 0 times, leaving a remainder of 170.
Record the quotient 0 as the next digit in the result. 
Result so far: 204306.591687
Subtract 0 from 170 to get 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Step 16:
If we divide 1700 by 409, we get 4 and a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 204306.59168704
Subtracting 1636 from 1700 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 204306.59168704, and the remainder is 6.4e-08.