We're dividing 31503455 by 506 
The aim is to understand the frequency of 506 in 31503455.

Advancing to step 1:
506 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 506

Advancing to step 2:
When dividing 31 by 506, we get 0 with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Fetch the next digit (5) from the dividend, attach it to 31 and continue: 315 / 506

Advancing to step 3:
When dividing 315 by 506, we get 0 with a remainder of 315.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 315, we end up with 315.
Fetch the next digit (0) from the dividend, attach it to 315 and continue: 3150 / 506

Moving on to step 4:
The number 506 fits into 3150 6 times, leaving a remainder of 114.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 3036 from 3150 to get 114.
Fetch the next digit (3) from the dividend, attach it to 114 and continue: 1143 / 506

On to step 5:
When dividing 1143 by 506, we get 2 with a remainder of 131.
The next digit of our result is 2. 
Result so far: 62.0
Subtracting 1012 from 1143 leaves us with 131.
Fetch the next digit (4) from the dividend, attach it to 131 and continue: 1314 / 506

Moving on to step 6:
506 goes into 1314 2 times with a remainder of 302.
Record the quotient 2 as the next digit in the result. 
Result so far: 622.0
Deduct 1012 from 1314 and we're left with 302.
Take the next digit (5) from the dividend and append it to 302, then repeat: 3025 / 506

Moving on to step 7:
3025 divided by 506 is 5 with a remainder of 495.
The number 5 becomes the next digit in our result. 
Result so far: 6225.0
Deduct 2530 from 3025 and we're left with 495.
Include the next digit (5) from the dividend after 495, then repeat: 4955 / 506

Let's proceed to step 8:
If we divide 4955 by 506, we get 9 and a remainder of 401.
Use 9 as the next digit of our solution. 
Result so far: 62259.0
If we subtract 4554 from 4955, we get 401.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4010, and continue the process.

Moving on to step 9:
506 goes into 4010 7 times with a remainder of 468.
Write down 7 as next digit of the result. 
Result so far: 62259.7
The remainder is 468 after subtracting 3542 from 4010.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Moving on to step 10:
When dividing 4680 by 506, we get 9 with a remainder of 126.
Use 9 as the next digit of our solution. 
Result so far: 62259.79
If we subtract 4554 from 4680, we get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Going ahead to step 11:
506 goes into 1260 2 times with a remainder of 248.
The next digit of our result is 2. 
Result so far: 62259.792
Subtract 1012 from 1260 to get 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

Going ahead to step 12:
506 goes into 2480 4 times with a remainder of 456.
Use 4 as the next digit of our solution. 
Result so far: 62259.7924
Deduct 2024 from 2480 and we're left with 456.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4560, and continue the process.

On to step 13:
If we divide 4560 by 506, we get 9 and a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 62259.79249
If we take 4554 away from 4560, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
506 goes into 60 0 times with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 62259.79249
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 15:
600 divided by 506 is 1 with a remainder of 94.
The number 1 becomes the next digit in our result. 
Result so far: 62259.7924901
If we subtract 506 from 600, we get 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

On to step 16:
506 can be fit into 940 1 times, resulting in a remainder of 434.
Use 1 as the next digit of our solution. 
Result so far: 62259.79249011
Subtracting 506 from 940 leaves us with 434.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

After the division, we end up with 62259.79249011 and a remainder of 4.34e-07.