We look at the division of 511721 by 43 
We're looking to find how many times 43 goes into 511721.

Step 1:
If we divide 5 by 43, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 43

Going ahead to step 2:
51 divided by 43 is 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 43 from 51 leaves us with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 43

Step 3:
When dividing 81 by 43, we get 1 with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 43 away from 81, we end up with 38.
Fetch the next digit (7) from the dividend, attach it to 38 and continue: 387 / 43

Going ahead to step 4:
387 divided by 43 is 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 119.0
If we take 387 away from 387, we end up with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 43

Going ahead to step 5:
43 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 1190.0
If we take 0 away from 2, we end up with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 43

Going ahead to step 6:
If we divide 21 by 43, we get 0 and a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 11900.0
If we take 0 away from 21, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
The number 43 fits into 210 4 times, leaving a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 11900.4
The remainder is 38 after subtracting 172 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
43 can be fit into 380 8 times, resulting in a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 11900.48
Subtracting 344 from 380 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
If we divide 360 by 43, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 11900.488
Subtract 344 from 360 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 11900.488 with a remainder of 0.0016.