14240123 divided by 825 
The aim is to understand the frequency of 825 in 14240123.

Let's proceed to step 1:
1 divided by 825 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 825

Let's proceed to step 2:
825 goes into 14 0 times with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 825

Going ahead to step 3:
825 can be fit into 142 0 times, resulting in a remainder of 142.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 142, we get 142.
Append the next digit (4) from the dividend to 142 and continue with: 1424 / 825

Let's proceed to step 4:
The number 825 fits into 1424 1 times, leaving a remainder of 599.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 599 after subtracting 825 from 1424.
Bring next digit (0) of the dividend behind the 599 and repeat the process: 5990 / 825

Moving on to step 5:
When dividing 5990 by 825, we get 7 with a remainder of 215.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtracting 5775 from 5990 leaves us with 215.
Bring next digit (1) of the dividend behind the 215 and repeat the process: 2151 / 825

Going ahead to step 6:
When dividing 2151 by 825, we get 2 with a remainder of 501.
Put 2 as the next digit of the answer. 
Result so far: 172.0
Subtracting 1650 from 2151 leaves us with 501.
Append the next digit (2) from the dividend to 501 and continue with: 5012 / 825

Step 7:
If we divide 5012 by 825, we get 6 and a remainder of 62.
Write down 6 as next digit of the result. 
Result so far: 1726.0
Deduct 4950 from 5012 and we're left with 62.
Bring next digit (3) of the dividend behind the 62 and repeat the process: 623 / 825

Advancing to step 8:
The number 825 fits into 623 0 times, leaving a remainder of 623.
The number 0 becomes the next digit in our result. 
Result so far: 17260.0
The remainder is 623 after subtracting 0 from 623.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6230, and continue the process.

Moving on to step 9:
If we divide 6230 by 825, we get 7 and a remainder of 455.
Write down 7 as next digit of the result. 
Result so far: 17260.7
Deduct 5775 from 6230 and we're left with 455.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

Let's proceed to step 10:
When dividing 4550 by 825, we get 5 with a remainder of 425.
The number 5 becomes the next digit in our result. 
Result so far: 17260.75
Subtract 4125 from 4550 to get 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

On to step 11:
When dividing 4250 by 825, we get 5 with a remainder of 125.
The number 5 becomes the next digit in our result. 
Result so far: 17260.755
Subtracting 4125 from 4250 leaves us with 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

The final result is 17260.755 with a remainder of 0.0125.