We look at the division of 51210871 by 509 
We want to divide 51210871 by 509.

Moving on to step 1:
509 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 509

On to step 2:
509 goes into 51 0 times with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Include the next digit (2) from the dividend after 51, then repeat: 512 / 509

Moving on to step 3:
509 goes into 512 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 509 away from 512, we end up with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 509

Let's proceed to step 4:
509 can be fit into 31 0 times, resulting in a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 31 to get 31.
Take the next digit (0) from the dividend and append it to 31, then repeat: 310 / 509

On to step 5:
509 goes into 310 0 times with a remainder of 310.
Record the quotient 0 as the next digit in the result. 
Result so far: 100.0
Deduct 0 from 310 and we're left with 310.
Fetch the next digit (8) from the dividend, attach it to 310 and continue: 3108 / 509

Advancing to step 6:
When dividing 3108 by 509, we get 6 with a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 1006.0
The remainder is 54 after subtracting 3054 from 3108.
Append the next digit (7) from the dividend to 54 and continue with: 547 / 509

Let's proceed to step 7:
The number 509 fits into 547 1 times, leaving a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 10061.0
Deduct 509 from 547 and we're left with 38.
Include the next digit (1) from the dividend after 38, then repeat: 381 / 509

On to step 8:
509 goes into 381 0 times with a remainder of 381.
Record the quotient 0 as the next digit in the result. 
Result so far: 100610.0
The remainder is 381 after subtracting 0 from 381.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3810, and continue the process.

Advancing to step 9:
509 goes into 3810 7 times with a remainder of 247.
Put 7 as the next digit of the answer. 
Result so far: 100610.7
Deduct 3563 from 3810 and we're left with 247.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2470, and continue the process.

Step 10:
2470 divided by 509 is 4 with a remainder of 434.
The number 4 becomes the next digit in our result. 
Result so far: 100610.74
Subtract 2036 from 2470 to get 434.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

On to step 11:
509 can be fit into 4340 8 times, resulting in a remainder of 268.
The next digit of our result is 8. 
Result so far: 100610.748
If we take 4072 away from 4340, we end up with 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Advancing to step 12:
If we divide 2680 by 509, we get 5 and a remainder of 135.
Put 5 as the next digit of the answer. 
Result so far: 100610.7485
The remainder is 135 after subtracting 2545 from 2680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Advancing to step 13:
1350 divided by 509 is 2 with a remainder of 332.
Use 2 as the next digit of our solution. 
Result so far: 100610.74852
Deduct 1018 from 1350 and we're left with 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Step 14:
When dividing 3320 by 509, we get 6 with a remainder of 266.
Record the quotient 6 as the next digit in the result. 
Result so far: 100610.748526
Subtracting 3054 from 3320 leaves us with 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

On to step 15:
If we divide 2660 by 509, we get 5 and a remainder of 115.
The next digit of our result is 5. 
Result so far: 100610.7485265
If we subtract 2545 from 2660, we get 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Step 16:
1150 divided by 509 is 2 with a remainder of 132.
Record the quotient 2 as the next digit in the result. 
Result so far: 100610.74852652
If we take 1018 away from 1150, we end up with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Our division results in 100610.74852652 with a remaining 1.32e-07.