We look at the division of 13513629 by 413 
The aim is to understand the frequency of 413 in 13513629.

On to step 1:
1 divided by 413 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 413

Going ahead to step 2:
13 divided by 413 is 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 413

Advancing to step 3:
413 can be fit into 135 0 times, resulting in a remainder of 135.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 135, we get 135.
Include the next digit (1) from the dividend after 135, then repeat: 1351 / 413

Moving on to step 4:
When dividing 1351 by 413, we get 3 with a remainder of 112.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 112 after subtracting 1239 from 1351.
Fetch the next digit (3) from the dividend, attach it to 112 and continue: 1123 / 413

Advancing to step 5:
413 can be fit into 1123 2 times, resulting in a remainder of 297.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
Subtracting 826 from 1123 leaves us with 297.
Grab the next digit (6) from the dividend, add it to 297, then carry on: 2976 / 413

Moving on to step 6:
When dividing 2976 by 413, we get 7 with a remainder of 85.
The next digit of our result is 7. 
Result so far: 327.0
Subtract 2891 from 2976 to get 85.
Take the next digit (2) from the dividend and append it to 85, then repeat: 852 / 413

Let's proceed to step 7:
When dividing 852 by 413, we get 2 with a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 3272.0
If we subtract 826 from 852, we get 26.
Take the next digit (9) from the dividend and append it to 26, then repeat: 269 / 413

Let's proceed to step 8:
269 divided by 413 is 0 with a remainder of 269.
The next digit of our result is 0. 
Result so far: 32720.0
Subtracting 0 from 269 leaves us with 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2690, and continue the process.

Going ahead to step 9:
413 goes into 2690 6 times with a remainder of 212.
The number 6 becomes the next digit in our result. 
Result so far: 32720.6
Subtract 2478 from 2690 to get 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Advancing to step 10:
413 can be fit into 2120 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 32720.65
If we subtract 2065 from 2120, we 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.

Moving on to step 11:
413 can be fit into 550 1 times, resulting in a remainder of 137.
The number 1 becomes the next digit in our result. 
Result so far: 32720.651
The remainder is 137 after subtracting 413 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

Going ahead to step 12:
413 can be fit into 1370 3 times, resulting in a remainder of 131.
Record the quotient 3 as the next digit in the result. 
Result so far: 32720.6513
Subtract 1239 from 1370 to get 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Let's proceed to step 13:
If we divide 1310 by 413, we get 3 and a remainder of 71.
Record the quotient 3 as the next digit in the result. 
Result so far: 32720.65133
Deduct 1239 from 1310 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

The quotient of the division is 32720.65133, and the remainder is 7.1e-05.