We look at the division of 769569 by 27 
Let's see how many times 27 fits into 769569.

On to step 1:
The number 27 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 27

Step 2:
The number 27 fits into 76 2 times, leaving a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 54 from 76 to get 22.
Bring next digit (9) of the dividend behind the 22 and repeat the process: 229 / 27

Step 3:
27 goes into 229 8 times with a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
Subtracting 216 from 229 leaves us with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 27

Advancing to step 4:
27 can be fit into 135 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 285.0
Deduct 135 from 135 and we're left with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 27

On to step 5:
27 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 2850.0
Subtract 0 from 6 to get 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 27

Step 6:
27 goes into 69 2 times with a remainder of 15.
The next digit of our result is 2. 
Result so far: 28502.0
The remainder is 15 after subtracting 54 from 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
27 goes into 150 5 times with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 28502.5
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
The number 27 fits into 150 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 28502.55
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 28502.55 with a remainder of 0.015.