We look at the division of 21025 by 27 
We're looking to find how many times 27 goes into 21025.

Going ahead to step 1:
27 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 27

Moving on to step 2:
27 can be fit into 21 0 times, resulting in a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Bring next digit (0) of the dividend behind the 21 and repeat the process: 210 / 27

Advancing to step 3:
When dividing 210 by 27, we get 7 with a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 189 from 210 leaves us with 21.
Take the next digit (2) from the dividend and append it to 21, then repeat: 212 / 27

Going ahead to step 4:
When dividing 212 by 27, we get 7 with a remainder of 23.
The next digit of our result is 7. 
Result so far: 77.0
If we subtract 189 from 212, we get 23.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 27

On to step 5:
The number 27 fits into 235 8 times, leaving a remainder of 19.
The next digit of our result is 8. 
Result so far: 778.0
Subtract 216 from 235 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 6:
When dividing 190 by 27, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 778.7
The remainder is 1 after subtracting 189 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
27 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 778.7
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 27, we get 3 with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 778.703
The remainder is 19 after subtracting 81 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 9:
If we divide 190 by 27, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 778.7037
If we take 189 away from 190, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
27 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 778.7037
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
27 goes into 100 3 times with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 778.703703
If we subtract 81 from 100, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 12:
190 divided by 27 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 778.7037037
If we take 189 away from 190, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
The number 27 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 778.7037037
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 778.7037037, and the remainder is 1e-08.