656304 ÷ 51 
Our goal is to divide 656304 by 51.

Advancing to step 1:
51 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 51

Moving on to step 2:
65 divided by 51 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 51 from 65 leaves us with 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 51

Going ahead to step 3:
The number 51 fits into 146 2 times, leaving a remainder of 44.
The next digit of our result is 2. 
Result so far: 12.0
If we take 102 away from 146, we end up with 44.
Fetch the next digit (3) from the dividend, attach it to 44 and continue: 443 / 51

Moving on to step 4:
If we divide 443 by 51, we get 8 and a remainder of 35.
The next digit of our result is 8. 
Result so far: 128.0
Deduct 408 from 443 and we're left with 35.
Take the next digit (0) from the dividend and append it to 35, then repeat: 350 / 51

Going ahead to step 5:
If we divide 350 by 51, we get 6 and a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 1286.0
If we take 306 away from 350, we end up with 44.
Grab the next digit (4) from the dividend, add it to 44, then carry on: 444 / 51

On to step 6:
444 divided by 51 is 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 12868.0
Deduct 408 from 444 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 7:
The number 51 fits into 360 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 12868.7
If we subtract 357 from 360, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
The number 51 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 12868.7
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
51 can be fit into 300 5 times, resulting in a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 12868.705
Subtract 255 from 300 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 10:
51 can be fit into 450 8 times, resulting in a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 12868.7058
If we subtract 408 from 450, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 11:
51 can be fit into 420 8 times, resulting in a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 12868.70588
Subtracting 408 from 420 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 12868.70588 and a remainder of 1.2e-05.