We look at the division of 14972706 by 513 
The aim is to understand the frequency of 513 in 14972706.

Advancing to step 1:
1 divided by 513 is 0 with 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.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 513

On to step 2:
14 divided by 513 is 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Append the next digit (9) from the dividend to 14 and continue with: 149 / 513

Let's proceed to step 3:
513 goes into 149 0 times with a remainder of 149.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 149, we end up with 149.
Append the next digit (7) from the dividend to 149 and continue with: 1497 / 513

Advancing to step 4:
The number 513 fits into 1497 2 times, leaving a remainder of 471.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 1026 from 1497 and we're left with 471.
Fetch the next digit (2) from the dividend, attach it to 471 and continue: 4712 / 513

Going ahead to step 5:
513 can be fit into 4712 9 times, resulting in a remainder of 95.
Put 9 as the next digit of the answer. 
Result so far: 29.0
The remainder is 95 after subtracting 4617 from 4712.
Take the next digit (7) from the dividend and append it to 95, then repeat: 957 / 513

Moving on to step 6:
If we divide 957 by 513, we get 1 and a remainder of 444.
Use 1 as the next digit of our solution. 
Result so far: 291.0
If we take 513 away from 957, we end up with 444.
Include the next digit (0) from the dividend after 444, then repeat: 4440 / 513

Let's proceed to step 7:
The number 513 fits into 4440 8 times, leaving a remainder of 336.
Use 8 as the next digit of our solution. 
Result so far: 2918.0
Deduct 4104 from 4440 and we're left with 336.
Bring next digit (6) of the dividend behind the 336 and repeat the process: 3366 / 513

Advancing to step 8:
513 goes into 3366 6 times with a remainder of 288.
The next digit of our result is 6. 
Result so far: 29186.0
The remainder is 288 after subtracting 3078 from 3366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

Let's proceed to step 9:
If we divide 2880 by 513, we get 5 and a remainder of 315.
Put 5 as the next digit of the answer. 
Result so far: 29186.5
If we subtract 2565 from 2880, we get 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

Step 10:
If we divide 3150 by 513, we get 6 and a remainder of 72.
Write down 6 as next digit of the result. 
Result so far: 29186.56
Subtracting 3078 from 3150 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 11:
513 can be fit into 720 1 times, resulting in a remainder of 207.
The number 1 becomes the next digit in our result. 
Result so far: 29186.561
The remainder is 207 after subtracting 513 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2070, and continue the process.

Step 12:
The number 513 fits into 2070 4 times, leaving a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 29186.5614
Deduct 2052 from 2070 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 13:
When dividing 180 by 513, we get 0 with a remainder of 180.
The number 0 becomes the next digit in our result. 
Result so far: 29186.5614
Subtract 0 from 180 to get 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Step 14:
1800 divided by 513 is 3 with a remainder of 261.
The next digit of our result is 3. 
Result so far: 29186.561403
The remainder is 261 after subtracting 1539 from 1800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2610, and continue the process.

On to step 15:
513 can be fit into 2610 5 times, resulting in a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 29186.5614035
Deduct 2565 from 2610 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 16:
513 can be fit into 450 0 times, resulting in a remainder of 450.
Record the quotient 0 as the next digit in the result. 
Result so far: 29186.5614035
Subtract 0 from 450 to get 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

In conclusion, the division gives 29186.5614035 with a balance of 4.5e-07.