Let's divide 30114241 by 501
The aim is to understand the frequency of 501 in 30114241.

Advancing to step 1:
When dividing 3 by 501, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 501

Moving on to step 2:
If we divide 30 by 501, we get 0 and a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Append the next digit (1) from the dividend to 30 and continue with: 301 / 501

Moving on to step 3:
If we divide 301 by 501, we get 0 and a remainder of 301.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 301, we get 301.
Append the next digit (1) from the dividend to 301 and continue with: 3011 / 501

Step 4:
When dividing 3011 by 501, we get 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 3006 from 3011, we get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 501

Let's proceed to step 5:
The number 501 fits into 54 0 times, leaving a remainder of 54.
Record the quotient 0 as the next digit in the result. 
Result so far: 60.0
The remainder is 54 after subtracting 0 from 54.
Bring next digit (2) of the dividend behind the 54 and repeat the process: 542 / 501

Advancing to step 6:
If we divide 542 by 501, we get 1 and a remainder of 41.
Use 1 as the next digit of our solution. 
Result so far: 601.0
If we subtract 501 from 542, we get 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 501

Advancing to step 7:
501 can be fit into 414 0 times, resulting in a remainder of 414.
The next digit of our result is 0. 
Result so far: 6010.0
The remainder is 414 after subtracting 0 from 414.
Include the next digit (1) from the dividend after 414, then repeat: 4141 / 501

Moving on to step 8:
If we divide 4141 by 501, we get 8 and a remainder of 133.
The next digit of our result is 8. 
Result so far: 60108.0
Subtracting 4008 from 4141 leaves us with 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Moving on to step 9:
The number 501 fits into 1330 2 times, leaving a remainder of 328.
Write down 2 as next digit of the result. 
Result so far: 60108.2
Deduct 1002 from 1330 and we're left with 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

On to step 10:
3280 divided by 501 is 6 with a remainder of 274.
The next digit of our result is 6. 
Result so far: 60108.26
If we take 3006 away from 3280, we end up 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.

Going ahead to step 11:
501 goes into 2740 5 times with a remainder of 235.
The number 5 becomes the next digit in our result. 
Result so far: 60108.265
Subtracting 2505 from 2740 leaves us with 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

Step 12:
501 can be fit into 2350 4 times, resulting in a remainder of 346.
The next digit of our result is 4. 
Result so far: 60108.2654
Subtract 2004 from 2350 to get 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Advancing to step 13:
The number 501 fits into 3460 6 times, leaving a remainder of 454.
Write down 6 as next digit of the result. 
Result so far: 60108.26546
Subtracting 3006 from 3460 leaves us with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Moving on to step 14:
If we divide 4540 by 501, we get 9 and a remainder of 31.
The next digit of our result is 9. 
Result so far: 60108.265469
Subtracting 4509 from 4540 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 15:
If we divide 310 by 501, we get 0 and a remainder of 310.
Put 0 as the next digit of the answer. 
Result so far: 60108.265469
Deduct 0 from 310 and we're left with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Step 16:
501 can be fit into 3100 6 times, resulting in a remainder of 94.
The next digit of our result is 6. 
Result so far: 60108.26546906
Subtract 3006 from 3100 to 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.

The quotient of the division is 60108.26546906, and the remainder is 9.4e-08.