55645604 ÷ 513 
The aim is to understand the frequency of 513 in 55645604.

Let's proceed to step 1:
513 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 513

Step 2:
When dividing 55 by 513, we get 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Bring next digit (6) of the dividend behind the 55 and repeat the process: 556 / 513

Advancing to step 3:
513 goes into 556 1 times with a remainder of 43.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 513 from 556 leaves us with 43.
Include the next digit (4) from the dividend after 43, then repeat: 434 / 513

Moving on to step 4:
434 divided by 513 is 0 with a remainder of 434.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 434 to get 434.
Bring next digit (5) of the dividend behind the 434 and repeat the process: 4345 / 513

Let's proceed to step 5:
If we divide 4345 by 513, we get 8 and a remainder of 241.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
The remainder is 241 after subtracting 4104 from 4345.
Append the next digit (6) from the dividend to 241 and continue with: 2416 / 513

Let's proceed to step 6:
The number 513 fits into 2416 4 times, leaving a remainder of 364.
Write down 4 as next digit of the result. 
Result so far: 1084.0
Subtract 2052 from 2416 to get 364.
Include the next digit (0) from the dividend after 364, then repeat: 3640 / 513

Let's proceed to step 7:
3640 divided by 513 is 7 with a remainder of 49.
Use 7 as the next digit of our solution. 
Result so far: 10847.0
Subtracting 3591 from 3640 leaves us with 49.
Append the next digit (4) from the dividend to 49 and continue with: 494 / 513

On to step 8:
The number 513 fits into 494 0 times, leaving a remainder of 494.
Use 0 as the next digit of our solution. 
Result so far: 108470.0
If we subtract 0 from 494, we get 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

On to step 9:
When dividing 4940 by 513, we get 9 with a remainder of 323.
Use 9 as the next digit of our solution. 
Result so far: 108470.9
Subtract 4617 from 4940 to get 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

On to step 10:
The number 513 fits into 3230 6 times, leaving a remainder of 152.
Record the quotient 6 as the next digit in the result. 
Result so far: 108470.96
If we take 3078 away from 3230, we end up with 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

On to step 11:
If we divide 1520 by 513, we get 2 and a remainder of 494.
The next digit of our result is 2. 
Result so far: 108470.962
Subtract 1026 from 1520 to get 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Moving on to step 12:
513 goes into 4940 9 times with a remainder of 323.
The next digit of our result is 9. 
Result so far: 108470.9629
Subtract 4617 from 4940 to get 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Step 13:
The number 513 fits into 3230 6 times, leaving a remainder of 152.
Record the quotient 6 as the next digit in the result. 
Result so far: 108470.96296
The remainder is 152 after subtracting 3078 from 3230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Moving on to step 14:
1520 divided by 513 is 2 with a remainder of 494.
The number 2 becomes the next digit in our result. 
Result so far: 108470.962962
If we take 1026 away from 1520, we end up with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

On to step 15:
If we divide 4940 by 513, we get 9 and a remainder of 323.
The next digit of our result is 9. 
Result so far: 108470.9629629
If we take 4617 away from 4940, we end up with 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Going ahead to step 16:
The number 513 fits into 3230 6 times, leaving a remainder of 152.
The number 6 becomes the next digit in our result. 
Result so far: 108470.96296296
If we take 3078 away from 3230, we end up with 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

In conclusion, the division gives 108470.96296296 with a balance of 1.52e-07.