We look at the division of 505769 by 30 
We want to divide 505769 by 30.

Advancing to step 1:
5 divided by 30 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 30

On to step 2:
30 goes into 50 1 times with a remainder of 20.
The next digit of our result is 1. 
Result so far: 1.0
If we take 30 away from 50, we end up with 20.
Fetch the next digit (5) from the dividend, attach it to 20 and continue: 205 / 30

On to step 3:
30 goes into 205 6 times with a remainder of 25.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtract 180 from 205 to get 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 30

Let's proceed to step 4:
If we divide 257 by 30, we get 8 and a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 168.0
Deduct 240 from 257 and we're left with 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 30

On to step 5:
The number 30 fits into 176 5 times, leaving a remainder of 26.
Write down 5 as next digit of the result. 
Result so far: 1685.0
If we subtract 150 from 176, we get 26.
Fetch the next digit (9) from the dividend, attach it to 26 and continue: 269 / 30

Step 6:
30 goes into 269 8 times with a remainder of 29.
Record the quotient 8 as the next digit in the result. 
Result so far: 16858.0
Subtracting 240 from 269 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
30 can be fit into 290 9 times, resulting in a remainder of 20.
Put 9 as the next digit of the answer. 
Result so far: 16858.9
If we take 270 away from 290, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
If we divide 200 by 30, we get 6 and a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 16858.96
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
200 divided by 30 is 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 16858.966
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 16858.966 with a remainder of 0.002.