We look at the division of 25829 by 27 
We want to divide 25829 by 27.

Moving on to step 1:
2 divided by 27 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 27

Moving on to step 2:
The number 27 fits into 25 0 times, leaving 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.
Fetch the next digit (8) from the dividend, attach it to 25 and continue: 258 / 27

Step 3:
The number 27 fits into 258 9 times, leaving a remainder of 15.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 243 from 258 and we're left with 15.
Take the next digit (2) from the dividend and append it to 15, then repeat: 152 / 27

Advancing to step 4:
27 can be fit into 152 5 times, resulting in a remainder of 17.
Write down 5 as next digit of the result. 
Result so far: 95.0
The remainder is 17 after subtracting 135 from 152.
Append the next digit (9) from the dividend to 17 and continue with: 179 / 27

Going ahead to step 5:
When dividing 179 by 27, we get 6 with a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 956.0
Deduct 162 from 179 and we're left 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.

Let's proceed to step 6:
When dividing 170 by 27, we get 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 956.6
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.

Let's proceed to step 7:
27 goes into 80 2 times with a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 956.62
If we take 54 away from 80, we end up 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 8:
260 divided by 27 is 9 with a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 956.629
Subtract 243 from 260 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
If we divide 170 by 27, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 956.6296
If we subtract 162 from 170, we get 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 10:
The number 27 fits into 80 2 times, leaving a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 956.62962
If we take 54 away from 80, we end up 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.

Advancing to step 11:
27 can be fit into 260 9 times, resulting in a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 956.629629
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 12:
27 goes into 170 6 times with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 956.6296296
If we subtract 162 from 170, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 13:
If we divide 80 by 27, we get 2 and a remainder of 26.
The next digit of our result is 2. 
Result so far: 956.62962962
If we take 54 away from 80, we end up 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.

After the division, we end up with 956.62962962 and a remainder of 2.6e-08.