21786 ÷ 27 
We want to figure out the number of times 21786 can be divided by 27.

Advancing to step 1:
27 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 27

Step 2:
If we divide 21 by 27, we get 0 and a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 27

Going ahead to step 3:
When dividing 217 by 27, we get 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 216 away from 217, we end up with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 27

Moving on to step 4:
If we divide 18 by 27, we get 0 and a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 80.0
Subtracting 0 from 18 leaves us with 18.
Append the next digit (6) from the dividend to 18 and continue with: 186 / 27

Step 5:
When dividing 186 by 27, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 806.0
The remainder is 24 after subtracting 162 from 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 6:
If we divide 240 by 27, we get 8 and a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 806.8
If we take 216 away from 240, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
27 goes into 240 8 times with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 806.88
If we subtract 216 from 240, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 806.88 and a remainder of 0.024.