We look at the division of 768330 by 51 
Our goal is to divide 768330 by 51.

On to step 1:
The number 51 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 51

Advancing to step 2:
If we divide 76 by 51, we get 1 and a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
If we take 51 away from 76, we end up with 25.
Fetch the next digit (8) from the dividend, attach it to 25 and continue: 258 / 51

On to step 3:
51 can be fit into 258 5 times, resulting in a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtracting 255 from 258 leaves us with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 51

Let's proceed to step 4:
When dividing 33 by 51, we get 0 with a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 150.0
Deduct 0 from 33 and we're left with 33.
Bring next digit (3) of the dividend behind the 33 and repeat the process: 333 / 51

Let's proceed to step 5:
The number 51 fits into 333 6 times, leaving a remainder of 27.
The next digit of our result is 6. 
Result so far: 1506.0
If we subtract 306 from 333, we get 27.
Include the next digit (0) from the dividend after 27, then repeat: 270 / 51

Step 6:
270 divided by 51 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 15065.0
Subtracting 255 from 270 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
When dividing 150 by 51, we get 2 with a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 15065.2
The remainder is 48 after subtracting 102 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
51 goes into 480 9 times with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 15065.29
Subtracting 459 from 480 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 9:
The number 51 fits into 210 4 times, leaving a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 15065.294
If we subtract 204 from 210, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
The number 51 fits into 60 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 15065.2941
Subtracting 51 from 60 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 11:
If we divide 90 by 51, we get 1 and a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 15065.29411
Subtract 51 from 90 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Our division results in 15065.29411 with a remaining 3.9e-05.