We're dividing 314105 by 51 
Let's see how many times 51 fits into 314105.

Going ahead to step 1:
51 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 51

Let's proceed to step 2:
51 can be fit into 31 0 times, resulting in a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 51

Moving on to step 3:
When dividing 314 by 51, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 306 from 314 leaves us with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 51

On to step 4:
If we divide 81 by 51, we get 1 and a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 61.0
Subtract 51 from 81 to get 30.
Include the next digit (0) from the dividend after 30, then repeat: 300 / 51

Moving on to step 5:
If we divide 300 by 51, we get 5 and a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 615.0
Deduct 255 from 300 and we're left with 45.
Take the next digit (5) from the dividend and append it to 45, then repeat: 455 / 51

Step 6:
When dividing 455 by 51, we get 8 with a remainder of 47.
Record the quotient 8 as the next digit in the result. 
Result so far: 6158.0
Subtracting 408 from 455 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.

Moving on to step 7:
51 can be fit into 470 9 times, resulting in a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 6158.9
The remainder is 11 after subtracting 459 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
51 can be fit into 110 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 6158.92
If we subtract 102 from 110, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
The number 51 fits into 80 1 times, leaving a remainder of 29.
The next digit of our result is 1. 
Result so far: 6158.921
Subtracting 51 from 80 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 10:
The number 51 fits into 290 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 6158.9215
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.

Advancing to step 11:
51 can be fit into 350 6 times, resulting in a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 6158.92156
If we subtract 306 from 350, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 12:
440 divided by 51 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 6158.921568
Subtracting 408 from 440 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 13:
The number 51 fits into 320 6 times, leaving a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 6158.9215686
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.

Going ahead to step 14:
51 goes into 140 2 times with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 6158.92156862
Subtracting 102 from 140 leaves us 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.

The final result is 6158.92156862 with a remainder of 3.8e-08.