We look at the division of 510333 by 770 
We're looking to find how many times 770 goes into 510333.

Advancing to step 1:
5 divided by 770 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 770

Let's proceed to step 2:
51 divided by 770 is 0 with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Include the next digit (0) from the dividend after 51, then repeat: 510 / 770

Moving on to step 3:
770 goes into 510 0 times with a remainder of 510.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 510 to get 510.
Append the next digit (3) from the dividend to 510 and continue with: 5103 / 770

Going ahead to step 4:
If we divide 5103 by 770, we get 6 and a remainder of 483.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 4620 from 5103 and we're left with 483.
Fetch the next digit (3) from the dividend, attach it to 483 and continue: 4833 / 770

Let's proceed to step 5:
The number 770 fits into 4833 6 times, leaving a remainder of 213.
Use 6 as the next digit of our solution. 
Result so far: 66.0
If we take 4620 away from 4833, we end up with 213.
Take the next digit (3) from the dividend and append it to 213, then repeat: 2133 / 770

Moving on to step 6:
The number 770 fits into 2133 2 times, leaving a remainder of 593.
Write down 2 as next digit of the result. 
Result so far: 662.0
Subtract 1540 from 2133 to get 593.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5930, and continue the process.

Going ahead to step 7:
The number 770 fits into 5930 7 times, leaving a remainder of 540.
Put 7 as the next digit of the answer. 
Result so far: 662.7
If we subtract 5390 from 5930, we get 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

Step 8:
770 goes into 5400 7 times with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 662.77
Subtracting 5390 from 5400 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.

After the division, we end up with 662.77 and a remainder of 0.01.