We look at the division of 16415023 by 829 
The aim is to understand the frequency of 829 in 16415023.

Step 1:
1 divided by 829 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 829

Going ahead to step 2:
The number 829 fits into 16 0 times, leaving a remainder of 16.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Take the next digit (4) from the dividend and append it to 16, then repeat: 164 / 829

Moving on to step 3:
If we divide 164 by 829, we get 0 and a remainder of 164.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 164 leaves us with 164.
Append the next digit (1) from the dividend to 164 and continue with: 1641 / 829

Step 4:
When dividing 1641 by 829, we get 1 with a remainder of 812.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 829 from 1641 and we're left with 812.
Fetch the next digit (5) from the dividend, attach it to 812 and continue: 8125 / 829

On to step 5:
The number 829 fits into 8125 9 times, leaving a remainder of 664.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
The remainder is 664 after subtracting 7461 from 8125.
Grab the next digit (0) from the dividend, add it to 664, then carry on: 6640 / 829

Let's proceed to step 6:
When dividing 6640 by 829, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 198.0
Deduct 6632 from 6640 and we're left with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 829

Let's proceed to step 7:
829 can be fit into 82 0 times, resulting in a remainder of 82.
Write down 0 as next digit of the result. 
Result so far: 1980.0
Deduct 0 from 82 and we're left with 82.
Grab the next digit (3) from the dividend, add it to 82, then carry on: 823 / 829

On to step 8:
829 can be fit into 823 0 times, resulting in a remainder of 823.
Write down 0 as next digit of the result. 
Result so far: 19800.0
If we take 0 away from 823, we end up with 823.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8230, and continue the process.

On to step 9:
8230 divided by 829 is 9 with a remainder of 769.
Record the quotient 9 as the next digit in the result. 
Result so far: 19800.9
Deduct 7461 from 8230 and we're left with 769.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7690, and continue the process.

Moving on to step 10:
829 can be fit into 7690 9 times, resulting in a remainder of 229.
Use 9 as the next digit of our solution. 
Result so far: 19800.99
The remainder is 229 after subtracting 7461 from 7690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

The final result is 19800.99 with a remainder of 0.229.