We're dividing 257300 by 6 
Our goal is to divide 257300 by 6.

On to step 1:
If we divide 2 by 6, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 6

Step 2:
6 goes into 25 4 times with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 1 after subtracting 24 from 25.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 6

Let's proceed to step 3:
6 goes into 17 2 times with a remainder of 5.
The next digit of our result is 2. 
Result so far: 42.0
Subtract 12 from 17 to get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 6

Advancing to step 4:
53 divided by 6 is 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 428.0
Deduct 48 from 53 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 6

Let's proceed to step 5:
6 can be fit into 50 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 4288.0
If we subtract 48 from 50, we get 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 6

Step 6:
When dividing 20 by 6, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 42883.0
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
6 can be fit into 20 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 42883.3
If we subtract 18 from 20, 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.

Step 8:
20 divided by 6 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 42883.33
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 42883.33 with a remainder of 0.002.