We're dividing 25286401 by 429 
The aim is to understand the frequency of 429 in 25286401.

Let's proceed to step 1:
If we divide 2 by 429, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 429

Let's proceed to step 2:
When dividing 25 by 429, we get 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Bring next digit (2) of the dividend behind the 25 and repeat the process: 252 / 429

Let's proceed to step 3:
252 divided by 429 is 0 with a remainder of 252.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 252 to get 252.
Take the next digit (8) from the dividend and append it to 252, then repeat: 2528 / 429

Step 4:
When dividing 2528 by 429, we get 5 with a remainder of 383.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 2145 from 2528 leaves us with 383.
Take the next digit (6) from the dividend and append it to 383, then repeat: 3836 / 429

Let's proceed to step 5:
429 can be fit into 3836 8 times, resulting in a remainder of 404.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Subtracting 3432 from 3836 leaves us with 404.
Append the next digit (4) from the dividend to 404 and continue with: 4044 / 429

Going ahead to step 6:
4044 divided by 429 is 9 with a remainder of 183.
Use 9 as the next digit of our solution. 
Result so far: 589.0
If we take 3861 away from 4044, we end up with 183.
Append the next digit (0) from the dividend to 183 and continue with: 1830 / 429

Moving on to step 7:
The number 429 fits into 1830 4 times, leaving a remainder of 114.
Use 4 as the next digit of our solution. 
Result so far: 5894.0
If we subtract 1716 from 1830, we get 114.
Fetch the next digit (1) from the dividend, attach it to 114 and continue: 1141 / 429

On to step 8:
If we divide 1141 by 429, we get 2 and a remainder of 283.
The next digit of our result is 2. 
Result so far: 58942.0
Subtracting 858 from 1141 leaves us with 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

Advancing to step 9:
When dividing 2830 by 429, we get 6 with a remainder of 256.
Use 6 as the next digit of our solution. 
Result so far: 58942.6
Subtract 2574 from 2830 to get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Step 10:
429 goes into 2560 5 times with a remainder of 415.
Record the quotient 5 as the next digit in the result. 
Result so far: 58942.65
Deduct 2145 from 2560 and we're left with 415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4150, and continue the process.

Advancing to step 11:
If we divide 4150 by 429, we get 9 and a remainder of 289.
The next digit of our result is 9. 
Result so far: 58942.659
Subtract 3861 from 4150 to get 289.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2890, and continue the process.

On to step 12:
The number 429 fits into 2890 6 times, leaving a remainder of 316.
Write down 6 as next digit of the result. 
Result so far: 58942.6596
Subtract 2574 from 2890 to get 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Step 13:
If we divide 3160 by 429, we get 7 and a remainder of 157.
Use 7 as the next digit of our solution. 
Result so far: 58942.65967
If we take 3003 away from 3160, we end up with 157.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1570, and continue the process.

Let's proceed to step 14:
429 can be fit into 1570 3 times, resulting in a remainder of 283.
Put 3 as the next digit of the answer. 
Result so far: 58942.659673
Subtracting 1287 from 1570 leaves us with 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

On to step 15:
The number 429 fits into 2830 6 times, leaving a remainder of 256.
Use 6 as the next digit of our solution. 
Result so far: 58942.6596736
If we subtract 2574 from 2830, we get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Going ahead to step 16:
2560 divided by 429 is 5 with a remainder of 415.
Use 5 as the next digit of our solution. 
Result so far: 58942.65967365
The remainder is 415 after subtracting 2145 from 2560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4150, and continue the process.

In conclusion, the division gives 58942.65967365 with a balance of 4.15e-07.