We look at the division of 307686 by 51 
Let's see how many times 51 fits into 307686.

On 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
If we take 0 away from 3, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 51

Going ahead to step 2:
51 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 51

Advancing to step 3:
The number 51 fits into 307 6 times, leaving a remainder of 1.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 306 from 307 leaves us with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 51

Moving on to step 4:
51 can be fit into 16 0 times, resulting in a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 60.0
If we subtract 0 from 16, we get 16.
Include the next digit (8) from the dividend after 16, then repeat: 168 / 51

Advancing to step 5:
The number 51 fits into 168 3 times, leaving a remainder of 15.
The next digit of our result is 3. 
Result so far: 603.0
Subtracting 153 from 168 leaves us with 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 51

Let's proceed to step 6:
The number 51 fits into 156 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 6033.0
If we take 153 away from 156, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 51 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 6033.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
51 can be fit into 300 5 times, resulting in a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 6033.05
Deduct 255 from 300 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 9:
The number 51 fits into 450 8 times, leaving a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 6033.058
If we take 408 away from 450, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 10:
The number 51 fits into 420 8 times, leaving a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 6033.0588
The remainder is 12 after subtracting 408 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 6033.0588 with a balance of 0.00012.