676718 ÷ 51 
Our goal is to divide 676718 by 51.

Advancing to step 1:
51 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 51

Step 2:
When dividing 67 by 51, we get 1 with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 51 from 67, we get 16.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 51

Advancing to step 3:
166 divided by 51 is 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 153 from 166 and we're left with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 51

Going ahead to step 4:
If we divide 137 by 51, we get 2 and a remainder of 35.
Use 2 as the next digit of our solution. 
Result so far: 132.0
Subtracting 102 from 137 leaves us with 35.
Take the next digit (1) from the dividend and append it to 35, then repeat: 351 / 51

Going ahead to step 5:
When dividing 351 by 51, we get 6 with a remainder of 45.
Put 6 as the next digit of the answer. 
Result so far: 1326.0
If we take 306 away from 351, we end up with 45.
Include the next digit (8) from the dividend after 45, then repeat: 458 / 51

Moving on to step 6:
458 divided by 51 is 8 with a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 13268.0
If we subtract 408 from 458, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
51 goes into 500 9 times with a remainder of 41.
The next digit of our result is 9. 
Result so far: 13268.9
If we subtract 459 from 500, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 8:
The number 51 fits into 410 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 13268.98
If we subtract 408 from 410, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
51 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 13268.98
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 10:
51 can be fit into 200 3 times, resulting in a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 13268.9803
Deduct 153 from 200 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 11:
51 can be fit into 470 9 times, resulting in a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 13268.98039
Subtract 459 from 470 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 12:
51 can be fit into 110 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 13268.980392
If we take 102 away from 110, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 13:
51 goes into 80 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 13268.9803921
If we subtract 51 from 80, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 14:
290 divided by 51 is 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 13268.98039215
Subtracting 255 from 290 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 13268.98039215 with a balance of 3.5e-08.