We're dividing 257102 by 57 
We want to figure out the number of times 257102 can be divided by 57.

Moving on to step 1:
If we divide 2 by 57, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 57

Going ahead to step 2:
25 divided by 57 is 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 57

Moving on to step 3:
57 goes into 257 4 times with a remainder of 29.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 228 from 257 leaves us with 29.
Fetch the next digit (1) from the dividend, attach it to 29 and continue: 291 / 57

On to step 4:
291 divided by 57 is 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 45.0
If we take 285 away from 291, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 57

On to step 5:
The number 57 fits into 60 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 451.0
If we take 57 away from 60, we end up with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 57

Let's proceed to step 6:
57 can be fit into 32 0 times, resulting in a remainder of 32.
Write down 0 as next digit of the result. 
Result so far: 4510.0
Subtract 0 from 32 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
57 can be fit into 320 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 4510.5
Deduct 285 from 320 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
350 divided by 57 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 4510.56
Subtract 342 from 350 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
80 divided by 57 is 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 4510.561
Deduct 57 from 80 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 10:
If we divide 230 by 57, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 4510.5614
If we subtract 228 from 230, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
When dividing 20 by 57, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 4510.5614
If we subtract 0 from 20, we 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.

On to step 12:
57 goes into 200 3 times with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 4510.561403
Subtract 171 from 200 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 13:
The number 57 fits into 290 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 4510.5614035
The remainder is 5 after subtracting 285 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
When dividing 50 by 57, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 4510.5614035
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 4510.5614035 with a remaining 5e-08.