We look at the division of 13414504 by 522 
The aim is to understand the frequency of 522 in 13414504.

Step 1:
522 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 522

Let's proceed to step 2:
The number 522 fits into 13 0 times, leaving a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Take the next digit (4) from the dividend and append it to 13, then repeat: 134 / 522

On to step 3:
The number 522 fits into 134 0 times, leaving a remainder of 134.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 134, we get 134.
Take the next digit (1) from the dividend and append it to 134, then repeat: 1341 / 522

Step 4:
522 goes into 1341 2 times with a remainder of 297.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 297 after subtracting 1044 from 1341.
Include the next digit (4) from the dividend after 297, then repeat: 2974 / 522

Going ahead to step 5:
522 goes into 2974 5 times with a remainder of 364.
Write down 5 as next digit of the result. 
Result so far: 25.0
If we subtract 2610 from 2974, we get 364.
Include the next digit (5) from the dividend after 364, then repeat: 3645 / 522

Going ahead to step 6:
When dividing 3645 by 522, we get 6 with a remainder of 513.
The number 6 becomes the next digit in our result. 
Result so far: 256.0
Subtracting 3132 from 3645 leaves us with 513.
Take the next digit (0) from the dividend and append it to 513, then repeat: 5130 / 522

Advancing to step 7:
The number 522 fits into 5130 9 times, leaving a remainder of 432.
Record the quotient 9 as the next digit in the result. 
Result so far: 2569.0
Subtract 4698 from 5130 to get 432.
Include the next digit (4) from the dividend after 432, then repeat: 4324 / 522

Let's proceed to step 8:
When dividing 4324 by 522, we get 8 with a remainder of 148.
Write down 8 as next digit of the result. 
Result so far: 25698.0
The remainder is 148 after subtracting 4176 from 4324.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Step 9:
522 goes into 1480 2 times with a remainder of 436.
Use 2 as the next digit of our solution. 
Result so far: 25698.2
If we take 1044 away from 1480, we end up with 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

Going ahead to step 10:
4360 divided by 522 is 8 with a remainder of 184.
The next digit of our result is 8. 
Result so far: 25698.28
Deduct 4176 from 4360 and we're left with 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

On to step 11:
522 goes into 1840 3 times with a remainder of 274.
Put 3 as the next digit of the answer. 
Result so far: 25698.283
Deduct 1566 from 1840 and we're left with 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

On to step 12:
If we divide 2740 by 522, we get 5 and a remainder of 130.
The next digit of our result is 5. 
Result so far: 25698.2835
Deduct 2610 from 2740 and we're left with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Moving on to step 13:
The number 522 fits into 1300 2 times, leaving a remainder of 256.
Record the quotient 2 as the next digit in the result. 
Result so far: 25698.28352
Subtracting 1044 from 1300 leaves us with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

On to step 14:
522 goes into 2560 4 times with a remainder of 472.
The number 4 becomes the next digit in our result. 
Result so far: 25698.283524
If we take 2088 away from 2560, we end up with 472.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4720, and continue the process.

Moving on to step 15:
If we divide 4720 by 522, we get 9 and a remainder of 22.
The next digit of our result is 9. 
Result so far: 25698.2835249
Subtracting 4698 from 4720 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 16:
522 goes into 220 0 times with a remainder of 220.
Record the quotient 0 as the next digit in the result. 
Result so far: 25698.2835249
Subtract 0 from 220 to get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

After the division, we end up with 25698.2835249 and a remainder of 2.2e-07.