We look at the division of 782302 by 51 
We're looking to find how many times 51 goes into 782302.

Going ahead to 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
Subtract 0 from 7 to get 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 51

On to step 2:
The number 51 fits into 78 1 times, leaving a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 51 from 78 leaves us with 27.
Bring next digit (2) of the dividend behind the 27 and repeat the process: 272 / 51

On 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
If we subtract 255 from 272, we get 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 51

Step 4:
The number 51 fits into 173 3 times, leaving a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 153.0
If we take 153 away from 173, we end up with 20.
Grab the next digit (0) from the dividend, add it to 20, then carry on: 200 / 51

Moving on to step 5:
If we divide 200 by 51, we get 3 and a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 1533.0
Subtract 153 from 200 to get 47.
Take the next digit (2) from the dividend and append it to 47, then repeat: 472 / 51

On to step 6:
When dividing 472 by 51, we get 9 with a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 15339.0
Subtracting 459 from 472 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
51 goes into 130 2 times with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 15339.2
Subtracting 102 from 130 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
51 goes into 280 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 15339.25
If we subtract 255 from 280, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
51 can be fit into 250 4 times, resulting in a remainder of 46.
The next digit of our result is 4. 
Result so far: 15339.254
Deduct 204 from 250 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 10:
460 divided by 51 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 15339.2549
Deduct 459 from 460 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
10 divided by 51 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 15339.2549
Subtracting 0 from 10 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.

Moving on to step 12:
51 can be fit into 100 1 times, resulting in a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 15339.254901
The remainder is 49 after subtracting 51 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 13:
51 can be fit into 490 9 times, resulting in a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 15339.2549019
If we take 459 away from 490, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 14:
51 goes into 310 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 15339.25490196
The remainder is 4 after subtracting 306 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 15339.25490196, and the remainder is 4e-09.