257835 ÷ 71 
We're looking to find how many times 71 goes into 257835.

Step 1:
2 divided by 71 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 71

On to step 2:
If we divide 25 by 71, we get 0 and a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 71

Step 3:
The number 71 fits into 257 3 times, leaving a remainder of 44.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 213 away from 257, we end up with 44.
Fetch the next digit (8) from the dividend, attach it to 44 and continue: 448 / 71

Going ahead to step 4:
71 goes into 448 6 times with a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 36.0
If we take 426 away from 448, we end up with 22.
Bring next digit (3) of the dividend behind the 22 and repeat the process: 223 / 71

Advancing to step 5:
71 goes into 223 3 times with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 363.0
If we take 213 away from 223, we end up with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 71

Step 6:
105 divided by 71 is 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 3631.0
Subtract 71 from 105 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
71 goes into 340 4 times with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 3631.4
If we take 284 away from 340, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 8:
560 divided by 71 is 7 with a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 3631.47
Subtract 497 from 560 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 9:
If we divide 630 by 71, we get 8 and a remainder of 62.
Write down 8 as next digit of the result. 
Result so far: 3631.478
The remainder is 62 after subtracting 568 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 10:
If we divide 620 by 71, we get 8 and a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 3631.4788
Subtracting 568 from 620 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 3631.4788 and a remainder of 0.00052.