We look at the division of 768744 by 51 
We're looking to find how many times 51 goes into 768744.

On to step 1:
51 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 51

Let's proceed to step 2:
51 goes into 76 1 times with a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 51 from 76 and we're left with 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 51

Moving on to step 3:
51 can be fit into 258 5 times, resulting in a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtract 255 from 258 to get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 51

On to step 4:
When dividing 37 by 51, we get 0 with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 150.0
Deduct 0 from 37 and we're left with 37.
Take the next digit (4) from the dividend and append it to 37, then repeat: 374 / 51

Going ahead to step 5:
51 goes into 374 7 times with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 1507.0
Deduct 357 from 374 and we're left with 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 51

Let's proceed to step 6:
The number 51 fits into 174 3 times, leaving a remainder of 21.
The next digit of our result is 3. 
Result so far: 15073.0
Subtract 153 from 174 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
51 can be fit into 210 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 15073.4
The remainder is 6 after subtracting 204 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
When dividing 60 by 51, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 15073.41
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.

Let's proceed to step 9:
90 divided by 51 is 1 with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 15073.411
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.

The quotient of the division is 15073.411, and the remainder is 0.0039.