We're dividing 257977 by 43 
The aim is to understand the frequency of 43 in 257977.

Step 1:
The number 43 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 43

Step 2:
43 can be fit into 25 0 times, resulting in a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 43

Let's proceed to step 3:
If we divide 257 by 43, we get 5 and a remainder of 42.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 215 from 257 to get 42.
Include the next digit (9) from the dividend after 42, then repeat: 429 / 43

Let's proceed to step 4:
The number 43 fits into 429 9 times, leaving a remainder of 42.
The next digit of our result is 9. 
Result so far: 59.0
If we take 387 away from 429, we end up with 42.
Grab the next digit (7) from the dividend, add it to 42, then carry on: 427 / 43

Step 5:
43 can be fit into 427 9 times, resulting in a remainder of 40.
Use 9 as the next digit of our solution. 
Result so far: 599.0
Subtracting 387 from 427 leaves us with 40.
Append the next digit (7) from the dividend to 40 and continue with: 407 / 43

Moving on to step 6:
43 can be fit into 407 9 times, resulting in a remainder of 20.
The number 9 becomes the next digit in our result. 
Result so far: 5999.0
Subtract 387 from 407 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
200 divided by 43 is 4 with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 5999.4
If we subtract 172 from 200, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
The number 43 fits into 280 6 times, leaving a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 5999.46
The remainder is 22 after subtracting 258 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
43 can be fit into 220 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5999.465
If we subtract 215 from 220, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
When dividing 50 by 43, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 5999.4651
The remainder is 7 after subtracting 43 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
When dividing 70 by 43, we get 1 with a remainder of 27.
The next digit of our result is 1. 
Result so far: 5999.46511
Deduct 43 from 70 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

In conclusion, the division gives 5999.46511 with a balance of 2.7e-05.