676514 ÷ 51 
Our goal is to divide 676514 by 51.

Step 1:
51 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 51

Let's proceed to step 2:
51 can be fit into 67 1 times, resulting in a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 16 after subtracting 51 from 67.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 51

Going ahead to step 3:
If we divide 166 by 51, we get 3 and a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtracting 153 from 166 leaves us with 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 51

On to step 4:
The number 51 fits into 135 2 times, leaving a remainder of 33.
The next digit of our result is 2. 
Result so far: 132.0
If we subtract 102 from 135, we get 33.
Include the next digit (1) from the dividend after 33, then repeat: 331 / 51

Going ahead to step 5:
If we divide 331 by 51, we get 6 and a remainder of 25.
Use 6 as the next digit of our solution. 
Result so far: 1326.0
Deduct 306 from 331 and we're left with 25.
Grab the next digit (4) from the dividend, add it to 25, then carry on: 254 / 51

Advancing to step 6:
254 divided by 51 is 4 with a remainder of 50.
The next digit of our result is 4. 
Result so far: 13264.0
If we take 204 away from 254, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing 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: 13264.9
Subtracting 459 from 500 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 8:
51 can be fit into 410 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 13264.98
Subtracting 408 from 410 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
When dividing 20 by 51, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 13264.98
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
If we divide 200 by 51, we get 3 and a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 13264.9803
Subtracting 153 from 200 leaves us 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.

Step 11:
The number 51 fits into 470 9 times, leaving a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 13264.98039
If we take 459 away from 470, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
If we divide 110 by 51, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 13264.980392
Deduct 102 from 110 and we're left 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.

Advancing to step 13:
51 can be fit into 80 1 times, resulting in a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 13264.9803921
Subtracting 51 from 80 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 14:
If we divide 290 by 51, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 13264.98039215
Subtract 255 from 290 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 13264.98039215 with a remainder of 3.5e-08.