We're dividing 257948 by 3 
We're looking to find how many times 3 goes into 257948.

Going ahead to step 1:
When dividing 2 by 3, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 3

Step 2:
The number 3 fits into 25 8 times, leaving a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 24 away from 25, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 3

On to step 3:
If we divide 17 by 3, we get 5 and a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
Deduct 15 from 17 and we're left with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 3

Moving on to step 4:
3 can be fit into 29 9 times, resulting in a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 859.0
Subtract 27 from 29 to get 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 3

Step 5:
If we divide 24 by 3, we get 8 and a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 8598.0
Subtracting 24 from 24 leaves us with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 3

Let's proceed to step 6:
3 goes into 8 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 85982.0
Deduct 6 from 8 and we're left 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.

Moving on to step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 85982.6
Deduct 18 from 20 and we're left 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.

Step 8:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 85982.66
If we take 18 away from 20, we end up 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 quotient of the division is 85982.66, and the remainder is 0.002.