We divide 257462 by 65
We want to divide 257462 by 65.

Moving on to step 1:
When dividing 2 by 65, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
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 / 65

On to step 2:
25 divided by 65 is 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 65

On to step 3:
When dividing 257 by 65, we get 3 with a remainder of 62.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 195 from 257 and we're left with 62.
Grab the next digit (4) from the dividend, add it to 62, then carry on: 624 / 65

On to step 4:
624 divided by 65 is 9 with a remainder of 39.
Use 9 as the next digit of our solution. 
Result so far: 39.0
The remainder is 39 after subtracting 585 from 624.
Bring next digit (6) of the dividend behind the 39 and repeat the process: 396 / 65

Moving on to step 5:
65 can be fit into 396 6 times, resulting in a remainder of 6.
The next digit of our result is 6. 
Result so far: 396.0
Subtracting 390 from 396 leaves us with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 65

Moving on to step 6:
65 goes into 62 0 times with a remainder of 62.
The next digit of our result is 0. 
Result so far: 3960.0
Deduct 0 from 62 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 7:
65 can be fit into 620 9 times, resulting in a remainder of 35.
The next digit of our result is 9. 
Result so far: 3960.9
If we take 585 away from 620, we end up 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.

Going ahead to step 8:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 3960.95
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
If we divide 250 by 65, we get 3 and a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 3960.953
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 10:
When dividing 550 by 65, we get 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 3960.9538
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
300 divided by 65 is 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 3960.95384
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
400 divided by 65 is 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 3960.953846
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
65 goes into 100 1 times with a remainder of 35.
The next digit of our result is 1. 
Result so far: 3960.9538461
If we take 65 away from 100, we end up 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.

Going ahead to step 14:
350 divided by 65 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 3960.95384615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 3960.95384615 and a remainder of 2.5e-08.