We're dividing 25678 by 71 
We're looking to find how many times 71 goes into 25678.

Moving on to step 1:
71 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 71

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
If we subtract 0 from 25, we get 25.
Fetch the next digit (6) from the dividend, attach it to 25 and continue: 256 / 71

Going ahead to step 3:
71 goes into 256 3 times with a remainder of 43.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 213 from 256, we get 43.
Grab the next digit (7) from the dividend, add it to 43, then carry on: 437 / 71

Step 4:
71 goes into 437 6 times with a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 36.0
Subtracting 426 from 437 leaves us with 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 71

Moving on to step 5:
The number 71 fits into 118 1 times, leaving a remainder of 47.
The next digit of our result is 1. 
Result so far: 361.0
Subtract 71 from 118 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 6:
The number 71 fits into 470 6 times, leaving a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 361.6
If we take 426 away from 470, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
If we divide 440 by 71, we get 6 and a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 361.66
Subtracting 426 from 440 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 361.66 and a remainder of 0.014.