We look at the division of 14382384 by 257 
The aim is to understand the frequency of 257 in 14382384.

Let's proceed to step 1:
If we divide 1 by 257, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 257

On to step 2:
When dividing 14 by 257, we get 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 14 after subtracting 0 from 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 257

Step 3:
The number 257 fits into 143 0 times, leaving a remainder of 143.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 143 and we're left with 143.
Fetch the next digit (8) from the dividend, attach it to 143 and continue: 1438 / 257

Step 4:
257 can be fit into 1438 5 times, resulting in a remainder of 153.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 1285 from 1438 and we're left with 153.
Fetch the next digit (2) from the dividend, attach it to 153 and continue: 1532 / 257

Advancing to step 5:
If we divide 1532 by 257, we get 5 and a remainder of 247.
Use 5 as the next digit of our solution. 
Result so far: 55.0
If we take 1285 away from 1532, we end up with 247.
Include the next digit (3) from the dividend after 247, then repeat: 2473 / 257

On to step 6:
When dividing 2473 by 257, we get 9 with a remainder of 160.
Put 9 as the next digit of the answer. 
Result so far: 559.0
The remainder is 160 after subtracting 2313 from 2473.
Take the next digit (8) from the dividend and append it to 160, then repeat: 1608 / 257

Advancing to step 7:
The number 257 fits into 1608 6 times, leaving a remainder of 66.
The next digit of our result is 6. 
Result so far: 5596.0
If we subtract 1542 from 1608, we get 66.
Take the next digit (4) from the dividend and append it to 66, then repeat: 664 / 257

Advancing to step 8:
664 divided by 257 is 2 with a remainder of 150.
Write down 2 as next digit of the result. 
Result so far: 55962.0
Subtracting 514 from 664 leaves us with 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Moving on to step 9:
257 can be fit into 1500 5 times, resulting in a remainder of 215.
Put 5 as the next digit of the answer. 
Result so far: 55962.5
The remainder is 215 after subtracting 1285 from 1500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2150, and continue the process.

Advancing to step 10:
2150 divided by 257 is 8 with a remainder of 94.
The number 8 becomes the next digit in our result. 
Result so far: 55962.58
The remainder is 94 after subtracting 2056 from 2150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Step 11:
The number 257 fits into 940 3 times, leaving a remainder of 169.
Use 3 as the next digit of our solution. 
Result so far: 55962.583
Deduct 771 from 940 and we're left with 169.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1690, and continue the process.

Step 12:
If we divide 1690 by 257, we get 6 and a remainder of 148.
Write down 6 as next digit of the result. 
Result so far: 55962.5836
Subtracting 1542 from 1690 leaves us with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Moving on to step 13:
When dividing 1480 by 257, we get 5 with a remainder of 195.
Put 5 as the next digit of the answer. 
Result so far: 55962.58365
Subtracting 1285 from 1480 leaves us with 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1950, and continue the process.

Going ahead to step 14:
257 goes into 1950 7 times with a remainder of 151.
Write down 7 as next digit of the result. 
Result so far: 55962.583657
Subtract 1799 from 1950 to get 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

Going ahead to step 15:
If we divide 1510 by 257, we get 5 and a remainder of 225.
Record the quotient 5 as the next digit in the result. 
Result so far: 55962.5836575
Deduct 1285 from 1510 and we're left 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 16:
The number 257 fits into 2250 8 times, leaving a remainder of 194.
Put 8 as the next digit of the answer. 
Result so far: 55962.58365758
If we take 2056 away from 2250, we end up with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

In conclusion, the division gives 55962.58365758 with a balance of 1.94e-07.