We look at the division of 782378 by 51 
Let's see how many times 51 fits into 782378.

Step 1:
7 divided by 51 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 51

Going ahead to step 2:
If we divide 78 by 51, we get 1 and a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 51 from 78 and we're left with 27.
Append the next digit (2) from the dividend to 27 and continue with: 272 / 51

Advancing to step 3:
If we divide 272 by 51, we get 5 and a remainder of 17.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtracting 255 from 272 leaves us with 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 51

Moving on to step 4:
51 can be fit into 173 3 times, resulting in a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 153.0
The remainder is 20 after subtracting 153 from 173.
Include the next digit (7) from the dividend after 20, then repeat: 207 / 51

Going ahead to step 5:
When dividing 207 by 51, we get 4 with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 1534.0
If we subtract 204 from 207, we get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 51

On to step 6:
51 can be fit into 38 0 times, resulting in a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 15340.0
Deduct 0 from 38 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
The number 51 fits into 380 7 times, leaving a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 15340.7
Subtract 357 from 380 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
When dividing 230 by 51, we get 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 15340.74
If we take 204 away from 230, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
51 can be fit into 260 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15340.745
Subtract 255 from 260 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 51 fits into 50 0 times, leaving a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 15340.745
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 11:
51 can be fit into 500 9 times, resulting in a remainder of 41.
The next digit of our result is 9. 
Result so far: 15340.74509
If we take 459 away from 500, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 12:
If we divide 410 by 51, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 15340.745098
The remainder is 2 after subtracting 408 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
If we divide 20 by 51, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 15340.745098
Subtract 0 from 20 to 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.

On to step 14:
200 divided by 51 is 3 with a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 15340.74509803
Subtracting 153 from 200 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The final result is 15340.74509803 with a remainder of 4.7e-08.