We look at the division of 276269 by 51 
We want to figure out the number of times 276269 can be divided by 51.

Step 1:
If we divide 2 by 51, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 51

Moving on to step 2:
51 can be fit into 27 0 times, resulting in a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 27 after subtracting 0 from 27.
Append the next digit (6) from the dividend to 27 and continue with: 276 / 51

Step 3:
51 can be fit into 276 5 times, resulting in a remainder of 21.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 255 away from 276, we end up with 21.
Grab the next digit (2) from the dividend, add it to 21, then carry on: 212 / 51

On to step 4:
The number 51 fits into 212 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 54.0
If we take 204 away from 212, we end up with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 51

Advancing to step 5:
86 divided by 51 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 541.0
Subtract 51 from 86 to get 35.
Append the next digit (9) from the dividend to 35 and continue with: 359 / 51

On to step 6:
51 can be fit into 359 7 times, resulting in a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 5417.0
Subtract 357 from 359 to 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 7:
51 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 5417.0
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.

Let's proceed to step 8:
51 can be fit into 200 3 times, resulting in a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 5417.03
The remainder is 47 after subtracting 153 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 9:
470 divided by 51 is 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 5417.039
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.

Step 10:
When dividing 110 by 51, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 5417.0392
Subtracting 102 from 110 leaves us 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.

Step 11:
51 can be fit into 80 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 5417.03921
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.

Going ahead to step 12:
51 can be fit into 290 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 5417.039215
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.

Going ahead to step 13:
51 can be fit into 350 6 times, resulting in a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 5417.0392156
Subtract 306 from 350 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 14:
The number 51 fits into 440 8 times, leaving a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 5417.03921568
If we take 408 away from 440, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 5417.03921568 with a remainder of 3.2e-08.