We're dividing 408313 by 51 
We want to divide 408313 by 51.

Advancing to step 1:
If we divide 4 by 51, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 51

Let's proceed to step 2:
51 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Take the next digit (8) from the dividend and append it to 40, then repeat: 408 / 51

Moving on to step 3:
51 can be fit into 408 8 times, resulting in a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 408 from 408 to get 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 51

Let's proceed to step 4:
The number 51 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 80.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 51

Let's proceed to step 5:
When dividing 31 by 51, we get 0 with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 800.0
If we subtract 0 from 31, we get 31.
Append the next digit (3) from the dividend to 31 and continue with: 313 / 51

Advancing to step 6:
51 goes into 313 6 times with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 8006.0
Deduct 306 from 313 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
If we divide 70 by 51, we get 1 and a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 8006.1
Deduct 51 from 70 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 8:
When dividing 190 by 51, we get 3 with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 8006.13
The remainder is 37 after subtracting 153 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 9:
370 divided by 51 is 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 8006.137
Deduct 357 from 370 and we're left 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.

Step 10:
51 can be fit into 130 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 8006.1372
Deduct 102 from 130 and we're left 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.

Advancing to step 11:
51 goes into 280 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 8006.13725
The remainder is 25 after subtracting 255 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 12:
51 can be fit into 250 4 times, resulting in a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 8006.137254
Subtracting 204 from 250 leaves us 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.

Moving on to step 13:
51 goes into 460 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 8006.1372549
If we subtract 459 from 460, we get 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 14:
51 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 8006.1372549
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 8006.1372549 with a balance of 1e-08.