We're dividing 10987730 by 257 
The aim is to understand the frequency of 257 in 10987730.

On to step 1:
The number 257 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 257

On to step 2:
If we divide 10 by 257, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 257

Advancing to step 3:
257 goes into 109 0 times with a remainder of 109.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 109, we get 109.
Include the next digit (8) from the dividend after 109, then repeat: 1098 / 257

On to step 4:
If we divide 1098 by 257, we get 4 and a remainder of 70.
The next digit of our result is 4. 
Result so far: 4.0
If we take 1028 away from 1098, we end up with 70.
Take the next digit (7) from the dividend and append it to 70, then repeat: 707 / 257

Let's proceed to step 5:
The number 257 fits into 707 2 times, leaving a remainder of 193.
The next digit of our result is 2. 
Result so far: 42.0
Subtracting 514 from 707 leaves us with 193.
Fetch the next digit (7) from the dividend, attach it to 193 and continue: 1937 / 257

On to step 6:
If we divide 1937 by 257, we get 7 and a remainder of 138.
The next digit of our result is 7. 
Result so far: 427.0
Subtracting 1799 from 1937 leaves us with 138.
Append the next digit (3) from the dividend to 138 and continue with: 1383 / 257

Moving on to step 7:
257 goes into 1383 5 times with a remainder of 98.
Write down 5 as next digit of the result. 
Result so far: 4275.0
If we subtract 1285 from 1383, we get 98.
Take the next digit (0) from the dividend and append it to 98, then repeat: 980 / 257

Advancing to step 8:
257 goes into 980 3 times with a remainder of 209.
The number 3 becomes the next digit in our result. 
Result so far: 42753.0
If we subtract 771 from 980, we get 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

Advancing to step 9:
The number 257 fits into 2090 8 times, leaving a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 42753.8
Deduct 2056 from 2090 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 10:
If we divide 340 by 257, we get 1 and a remainder of 83.
The number 1 becomes the next digit in our result. 
Result so far: 42753.81
If we take 257 away from 340, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Moving on to step 11:
830 divided by 257 is 3 with a remainder of 59.
The number 3 becomes the next digit in our result. 
Result so far: 42753.813
If we take 771 away from 830, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 12:
If we divide 590 by 257, we get 2 and a remainder of 76.
Use 2 as the next digit of our solution. 
Result so far: 42753.8132
Deduct 514 from 590 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 13:
The number 257 fits into 760 2 times, leaving a remainder of 246.
Put 2 as the next digit of the answer. 
Result so far: 42753.81322
Deduct 514 from 760 and we're left with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

In conclusion, the division gives 42753.81322 with a balance of 0.000246.