We're dividing 314792 by 51 
Our goal is to divide 314792 by 51.

Step 1:
The number 51 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 51

On to step 2:
The number 51 fits into 31 0 times, leaving a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Grab the next digit (4) from the dividend, add it to 31, then carry on: 314 / 51

Going ahead to step 3:
314 divided by 51 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 306 from 314, we get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 51

On to step 4:
If we divide 87 by 51, we get 1 and a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Subtracting 51 from 87 leaves us with 36.
Take the next digit (9) from the dividend and append it to 36, then repeat: 369 / 51

Let's proceed to step 5:
51 goes into 369 7 times with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 617.0
The remainder is 12 after subtracting 357 from 369.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 51

Going ahead to step 6:
122 divided by 51 is 2 with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 6172.0
If we take 102 away from 122, we end up with 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 7:
51 can be fit into 200 3 times, resulting in a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 6172.3
If we take 153 away from 200, we end up 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.

Advancing to step 8:
When dividing 470 by 51, we get 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 6172.39
Subtracting 459 from 470 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
51 goes into 110 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 6172.392
Subtracting 102 from 110 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
80 divided by 51 is 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 6172.3921
Subtract 51 from 80 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 11:
290 divided by 51 is 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 6172.39215
Subtract 255 from 290 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 12:
When dividing 350 by 51, we get 6 with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 6172.392156
Deduct 306 from 350 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 13:
The number 51 fits into 440 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 6172.3921568
If we subtract 408 from 440, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
320 divided by 51 is 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 6172.39215686
If we subtract 306 from 320, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 6172.39215686 and a remainder of 1.4e-08.