We're dividing 51359377 by 503 
The aim is to understand the frequency of 503 in 51359377.

Let's proceed to step 1:
The number 503 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 503

Step 2:
51 divided by 503 is 0 with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Fetch the next digit (3) from the dividend, attach it to 51 and continue: 513 / 503

Let's proceed to step 3:
If we divide 513 by 503, we get 1 and a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 503 away from 513, we end up with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 503

On to step 4:
503 can be fit into 105 0 times, resulting in a remainder of 105.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 105 after subtracting 0 from 105.
Grab the next digit (9) from the dividend, add it to 105, then carry on: 1059 / 503

Let's proceed to step 5:
503 goes into 1059 2 times with a remainder of 53.
Write down 2 as next digit of the result. 
Result so far: 102.0
The remainder is 53 after subtracting 1006 from 1059.
Include the next digit (3) from the dividend after 53, then repeat: 533 / 503

Step 6:
533 divided by 503 is 1 with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 1021.0
Deduct 503 from 533 and we're left with 30.
Include the next digit (7) from the dividend after 30, then repeat: 307 / 503

Advancing to step 7:
If we divide 307 by 503, we get 0 and a remainder of 307.
The next digit of our result is 0. 
Result so far: 10210.0
Subtract 0 from 307 to get 307.
Append the next digit (7) from the dividend to 307 and continue with: 3077 / 503

Let's proceed to step 8:
The number 503 fits into 3077 6 times, leaving a remainder of 59.
The next digit of our result is 6. 
Result so far: 102106.0
Deduct 3018 from 3077 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 9:
The number 503 fits into 590 1 times, leaving a remainder of 87.
Write down 1 as next digit of the result. 
Result so far: 102106.1
The remainder is 87 after subtracting 503 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Moving on to step 10:
When dividing 870 by 503, we get 1 with a remainder of 367.
The next digit of our result is 1. 
Result so far: 102106.11
Subtracting 503 from 870 leaves us with 367.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3670, and continue the process.

The final outcome is 102106.11, with a leftover of 0.367.