25568 ÷ 81 
Our goal is to divide 25568 by 81.

Moving on to step 1:
The number 81 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 81

Step 2:
If we divide 25 by 81, we get 0 and a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 81

Step 3:
255 divided by 81 is 3 with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 243 from 255 to get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 81

Moving on to step 4:
81 can be fit into 126 1 times, resulting in a remainder of 45.
The next digit of our result is 1. 
Result so far: 31.0
If we subtract 81 from 126, we get 45.
Bring next digit (8) of the dividend behind the 45 and repeat the process: 458 / 81

Step 5:
When dividing 458 by 81, we get 5 with a remainder of 53.
Put 5 as the next digit of the answer. 
Result so far: 315.0
Deduct 405 from 458 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 6:
When dividing 530 by 81, we get 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 315.6
Subtract 486 from 530 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
81 can be fit into 440 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 315.65
The remainder is 35 after subtracting 405 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
350 divided by 81 is 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 315.654
Deduct 324 from 350 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
81 goes into 260 3 times with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 315.6543
Subtracting 243 from 260 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 10:
170 divided by 81 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 315.65432
Deduct 162 from 170 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
If we divide 80 by 81, we get 0 and a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 315.65432
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 12:
If we divide 800 by 81, we get 9 and a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 315.6543209
If we subtract 729 from 800, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 13:
If we divide 710 by 81, we get 8 and a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 315.65432098
Subtracting 648 from 710 leaves us 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.

Our division results in 315.65432098 with a remaining 6.2e-08.