We're dividing 681247 by 51 
Our goal is to divide 681247 by 51.

Going ahead to step 1:
6 divided by 51 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 51

Going ahead to step 2:
68 divided by 51 is 1 with a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
If we take 51 away from 68, we end up with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 51

Let's proceed to step 3:
171 divided by 51 is 3 with a remainder of 18.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtract 153 from 171 to get 18.
Bring next digit (2) of the dividend behind the 18 and repeat the process: 182 / 51

Step 4:
51 can be fit into 182 3 times, resulting in a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 133.0
If we take 153 away from 182, we end up with 29.
Grab the next digit (4) from the dividend, add it to 29, then carry on: 294 / 51

Let's proceed to step 5:
51 can be fit into 294 5 times, resulting in a remainder of 39.
The next digit of our result is 5. 
Result so far: 1335.0
Deduct 255 from 294 and we're left with 39.
Append the next digit (7) from the dividend to 39 and continue with: 397 / 51

On to step 6:
When dividing 397 by 51, we get 7 with a remainder of 40.
Write down 7 as next digit of the result. 
Result so far: 13357.0
Deduct 357 from 397 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
51 goes into 400 7 times with a remainder of 43.
The next digit of our result is 7. 
Result so far: 13357.7
Subtract 357 from 400 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 8:
51 can be fit into 430 8 times, resulting in a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 13357.78
If we take 408 away from 430, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
The number 51 fits into 220 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 13357.784
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
When dividing 160 by 51, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 13357.7843
Subtract 153 from 160 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
When dividing 70 by 51, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 13357.78431
The remainder is 19 after subtracting 51 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 12:
51 can be fit into 190 3 times, resulting in a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 13357.784313
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.

Let's proceed to step 13:
370 divided by 51 is 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 13357.7843137
The remainder is 13 after subtracting 357 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 14:
The number 51 fits into 130 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 13357.78431372
If we subtract 102 from 130, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 13357.78431372 with a balance of 2.8e-08.