We look at the division of 813406 by 51 
We're looking to find how many times 51 goes into 813406.

Going ahead to step 1:
8 divided by 51 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 51

Going ahead to step 2:
The number 51 fits into 81 1 times, leaving a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 51 from 81 and we're left with 30.
Append the next digit (3) from the dividend to 30 and continue with: 303 / 51

Step 3:
51 goes into 303 5 times with a remainder of 48.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtracting 255 from 303 leaves us with 48.
Grab the next digit (4) from the dividend, add it to 48, then carry on: 484 / 51

On to step 4:
51 goes into 484 9 times with a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 159.0
The remainder is 25 after subtracting 459 from 484.
Take the next digit (0) from the dividend and append it to 25, then repeat: 250 / 51

Moving on to step 5:
51 goes into 250 4 times with a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 1594.0
Subtract 204 from 250 to get 46.
Grab the next digit (6) from the dividend, add it to 46, then carry on: 466 / 51

Going ahead to step 6:
51 can be fit into 466 9 times, resulting in a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 15949.0
Subtracting 459 from 466 leaves us 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.

Advancing to step 7:
51 goes into 70 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 15949.1
If we take 51 away from 70, we end up 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.

Let's proceed to step 8:
51 goes into 190 3 times with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 15949.13
If we subtract 153 from 190, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 9:
370 divided by 51 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 15949.137
If we subtract 357 from 370, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 10:
If we divide 130 by 51, we get 2 and a remainder of 28.
The next digit of our result is 2. 
Result so far: 15949.1372
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.

Moving on to step 11:
280 divided by 51 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 15949.13725
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:
When dividing 250 by 51, we get 4 with a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 15949.137254
Subtract 204 from 250 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 13:
51 goes into 460 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 15949.1372549
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.

Going ahead to step 14:
51 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 15949.1372549
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.

In conclusion, the division gives 15949.1372549 with a balance of 1e-08.