We look at the division of 81571668 by 413 
The aim is to understand the frequency of 413 in 81571668.

Going ahead to step 1:
The number 413 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 413

Advancing to step 2:
81 divided by 413 is 0 with a remainder of 81.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 81 to get 81.
Take the next digit (5) from the dividend and append it to 81, then repeat: 815 / 413

Step 3:
If we divide 815 by 413, we get 1 and a remainder of 402.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 413 away from 815, we end up with 402.
Append the next digit (7) from the dividend to 402 and continue with: 4027 / 413

Advancing to step 4:
413 can be fit into 4027 9 times, resulting in a remainder of 310.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtract 3717 from 4027 to get 310.
Fetch the next digit (1) from the dividend, attach it to 310 and continue: 3101 / 413

Moving on to step 5:
413 goes into 3101 7 times with a remainder of 210.
Use 7 as the next digit of our solution. 
Result so far: 197.0
Subtracting 2891 from 3101 leaves us with 210.
Bring next digit (6) of the dividend behind the 210 and repeat the process: 2106 / 413

Advancing to step 6:
2106 divided by 413 is 5 with a remainder of 41.
Put 5 as the next digit of the answer. 
Result so far: 1975.0
Subtract 2065 from 2106 to get 41.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 413

Moving on to step 7:
416 divided by 413 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 19751.0
The remainder is 3 after subtracting 413 from 416.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 413

Let's proceed to step 8:
413 goes into 38 0 times with a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 197510.0
If we subtract 0 from 38, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
The number 413 fits into 380 0 times, leaving a remainder of 380.
The next digit of our result is 0. 
Result so far: 197510.0
If we take 0 away from 380, we end up with 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Going ahead to step 10:
When dividing 3800 by 413, we get 9 with a remainder of 83.
Write down 9 as next digit of the result. 
Result so far: 197510.09
The remainder is 83 after subtracting 3717 from 3800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Advancing to step 11:
413 goes into 830 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 197510.092
If we take 826 away from 830, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
413 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 197510.092
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
When dividing 400 by 413, we get 0 with a remainder of 400.
The next digit of our result is 0. 
Result so far: 197510.092
The remainder is 400 after subtracting 0 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

The quotient of the division is 197510.092, and the remainder is 0.0004.