Let's divide 13629025 by 178
The aim is to understand the frequency of 178 in 13629025.

On to step 1:
178 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 178

Let's proceed to step 2:
If we divide 13 by 178, we get 0 and a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 178

Going ahead to step 3:
136 divided by 178 is 0 with a remainder of 136.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 136, we get 136.
Take the next digit (2) from the dividend and append it to 136, then repeat: 1362 / 178

Let's proceed to step 4:
If we divide 1362 by 178, we get 7 and a remainder of 116.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 1246 from 1362, we get 116.
Append the next digit (9) from the dividend to 116 and continue with: 1169 / 178

On to step 5:
178 can be fit into 1169 6 times, resulting in a remainder of 101.
Write down 6 as next digit of the result. 
Result so far: 76.0
The remainder is 101 after subtracting 1068 from 1169.
Take the next digit (0) from the dividend and append it to 101, then repeat: 1010 / 178

Let's proceed to step 6:
178 can be fit into 1010 5 times, resulting in a remainder of 120.
The next digit of our result is 5. 
Result so far: 765.0
Deduct 890 from 1010 and we're left with 120.
Fetch the next digit (2) from the dividend, attach it to 120 and continue: 1202 / 178

Let's proceed to step 7:
178 goes into 1202 6 times with a remainder of 134.
Record the quotient 6 as the next digit in the result. 
Result so far: 7656.0
If we take 1068 away from 1202, we end up with 134.
Append the next digit (5) from the dividend to 134 and continue with: 1345 / 178

Moving on to step 8:
When dividing 1345 by 178, we get 7 with a remainder of 99.
The number 7 becomes the next digit in our result. 
Result so far: 76567.0
The remainder is 99 after subtracting 1246 from 1345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

Step 9:
178 goes into 990 5 times with a remainder of 100.
Put 5 as the next digit of the answer. 
Result so far: 76567.5
If we take 890 away from 990, we end up with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Moving on to step 10:
When dividing 1000 by 178, we get 5 with a remainder of 110.
The number 5 becomes the next digit in our result. 
Result so far: 76567.55
Deduct 890 from 1000 and we're left with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

In conclusion, the division gives 76567.55 with a balance of 0.11.