We divide 25641 by 86
We're looking to find how many times 86 goes into 25641.

Step 1:
86 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
If we subtract 0 from 2, we get 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 86

Advancing to step 2:
When dividing 25 by 86, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 86

On to step 3:
86 can be fit into 256 2 times, resulting in a remainder of 84.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 172 from 256 leaves us with 84.
Include the next digit (4) from the dividend after 84, then repeat: 844 / 86

Let's proceed to step 4:
844 divided by 86 is 9 with a remainder of 70.
Put 9 as the next digit of the answer. 
Result so far: 29.0
Deduct 774 from 844 and we're left with 70.
Fetch the next digit (1) from the dividend, attach it to 70 and continue: 701 / 86

Moving on to step 5:
86 goes into 701 8 times with a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 298.0
Subtract 688 from 701 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 6:
130 divided by 86 is 1 with a remainder of 44.
Put 1 as the next digit of the answer. 
Result so far: 298.1
The remainder is 44 after subtracting 86 from 130.
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:
86 can be fit into 440 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 298.15
The remainder is 10 after subtracting 430 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
86 goes into 100 1 times with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 298.151
The remainder is 14 after subtracting 86 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
86 goes into 140 1 times with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 298.1511
Subtract 86 from 140 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The quotient of the division is 298.1511, and the remainder is 0.00054.