We look at the division of 260413 by 51 
Let's see how many times 51 fits into 260413.

Advancing to step 1:
51 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 51

Let's proceed to step 2:
The number 51 fits into 26 0 times, leaving a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Append the next digit (0) from the dividend to 26 and continue with: 260 / 51

Going ahead to step 3:
51 can be fit into 260 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 255 from 260 to get 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 51

On to step 4:
54 divided by 51 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Subtract 51 from 54 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 51

On to step 5:
When dividing 31 by 51, we get 0 with a remainder of 31.
The next digit of our result is 0. 
Result so far: 510.0
If we take 0 away from 31, we end up with 31.
Include the next digit (3) from the dividend after 31, then repeat: 313 / 51

Step 6:
51 can be fit into 313 6 times, resulting in a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 5106.0
Deduct 306 from 313 and we're left with 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 7:
70 divided by 51 is 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 5106.1
Deduct 51 from 70 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 8:
When dividing 190 by 51, we get 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 5106.13
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.

On to step 9:
370 divided by 51 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 5106.137
Subtract 357 from 370 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 10:
130 divided by 51 is 2 with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 5106.1372
Subtracting 102 from 130 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
The number 51 fits into 280 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5106.13725
Subtracting 255 from 280 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 12:
When dividing 250 by 51, we get 4 with a remainder of 46.
The next digit of our result is 4. 
Result so far: 5106.137254
If we take 204 away from 250, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 13:
The number 51 fits into 460 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 5106.1372549
The remainder is 1 after subtracting 459 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
If we divide 10 by 51, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 5106.1372549
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 5106.1372549 and a remainder of 1e-08.