25776 ÷ 71 
Our goal is to divide 25776 by 71.

Step 1:
71 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 71

On to step 2:
71 goes into 25 0 times with 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.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 71

Advancing to step 3:
When dividing 257 by 71, we get 3 with a remainder of 44.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 213 from 257 and we're left with 44.
Fetch the next digit (7) from the dividend, attach it to 44 and continue: 447 / 71

Going ahead to step 4:
447 divided by 71 is 6 with a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 36.0
Subtract 426 from 447 to get 21.
Bring next digit (6) of the dividend behind the 21 and repeat the process: 216 / 71

Moving on to step 5:
When dividing 216 by 71, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 363.0
The remainder is 3 after subtracting 213 from 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 6:
If we divide 30 by 71, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 363.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
The number 71 fits into 300 4 times, leaving a remainder of 16.
The next digit of our result is 4. 
Result so far: 363.04
Subtract 284 from 300 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
71 goes into 160 2 times with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 363.042
Deduct 142 from 160 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
When dividing 180 by 71, we get 2 with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 363.0422
If we take 142 away from 180, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 363.0422 with a balance of 0.00038.