29177901 ÷ 825 
The aim is to understand the frequency of 825 in 29177901.

Advancing to step 1:
When dividing 2 by 825, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 825

Step 2:
29 divided by 825 is 0 with a remainder of 29.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 29, we get 29.
Include the next digit (1) from the dividend after 29, then repeat: 291 / 825

Advancing to step 3:
825 can be fit into 291 0 times, resulting in a remainder of 291.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 291, we get 291.
Include the next digit (7) from the dividend after 291, then repeat: 2917 / 825

Advancing to step 4:
825 can be fit into 2917 3 times, resulting in a remainder of 442.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 2475 from 2917 leaves us with 442.
Fetch the next digit (7) from the dividend, attach it to 442 and continue: 4427 / 825

Advancing to step 5:
4427 divided by 825 is 5 with a remainder of 302.
Put 5 as the next digit of the answer. 
Result so far: 35.0
If we subtract 4125 from 4427, we get 302.
Include the next digit (9) from the dividend after 302, then repeat: 3029 / 825

Advancing to step 6:
If we divide 3029 by 825, we get 3 and a remainder of 554.
Write down 3 as next digit of the result. 
Result so far: 353.0
Deduct 2475 from 3029 and we're left with 554.
Take the next digit (0) from the dividend and append it to 554, then repeat: 5540 / 825

On to step 7:
825 goes into 5540 6 times with a remainder of 590.
Put 6 as the next digit of the answer. 
Result so far: 3536.0
If we subtract 4950 from 5540, we get 590.
Include the next digit (1) from the dividend after 590, then repeat: 5901 / 825

On to step 8:
825 can be fit into 5901 7 times, resulting in a remainder of 126.
The number 7 becomes the next digit in our result. 
Result so far: 35367.0
Subtract 5775 from 5901 to 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.

On to step 9:
1260 divided by 825 is 1 with a remainder of 435.
The next digit of our result is 1. 
Result so far: 35367.1
Subtracting 825 from 1260 leaves us with 435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

On to step 10:
825 goes into 4350 5 times with a remainder of 225.
Put 5 as the next digit of the answer. 
Result so far: 35367.15
The remainder is 225 after subtracting 4125 from 4350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Going ahead to step 11:
2250 divided by 825 is 2 with a remainder of 600.
Put 2 as the next digit of the answer. 
Result so far: 35367.152
Subtract 1650 from 2250 to get 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Moving on to step 12:
825 goes into 6000 7 times with a remainder of 225.
Use 7 as the next digit of our solution. 
Result so far: 35367.1527
Subtracting 5775 from 6000 leaves us with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Let's proceed to step 13:
When dividing 2250 by 825, we get 2 with a remainder of 600.
The number 2 becomes the next digit in our result. 
Result so far: 35367.15272
Subtracting 1650 from 2250 leaves us with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Step 14:
825 can be fit into 6000 7 times, resulting in a remainder of 225.
Record the quotient 7 as the next digit in the result. 
Result so far: 35367.152727
The remainder is 225 after subtracting 5775 from 6000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Step 15:
825 goes into 2250 2 times with a remainder of 600.
Record the quotient 2 as the next digit in the result. 
Result so far: 35367.1527272
Deduct 1650 from 2250 and we're left with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Going ahead to step 16:
The number 825 fits into 6000 7 times, leaving a remainder of 225.
The number 7 becomes the next digit in our result. 
Result so far: 35367.15272727
If we take 5775 away from 6000, we end up with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

The final result is 35367.15272727 with a remainder of 2.25e-07.