511421 divided by 43 
Our goal is to divide 511421 by 43.

Let's proceed to step 1:
5 divided by 43 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 43

Moving on to step 2:
When dividing 51 by 43, we get 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 43 from 51, we get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 43

Let's proceed to step 3:
81 divided by 43 is 1 with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 43 from 81 leaves us with 38.
Append the next digit (4) from the dividend to 38 and continue with: 384 / 43

Moving on to step 4:
384 divided by 43 is 8 with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 118.0
Subtract 344 from 384 to get 40.
Include the next digit (2) from the dividend after 40, then repeat: 402 / 43

Step 5:
43 can be fit into 402 9 times, resulting in a remainder of 15.
The next digit of our result is 9. 
Result so far: 1189.0
If we take 387 away from 402, we end up with 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 43

On to step 6:
If we divide 151 by 43, we get 3 and a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 11893.0
Subtracting 129 from 151 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
The number 43 fits into 220 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 11893.5
Subtract 215 from 220 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
If we divide 50 by 43, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 11893.51
Subtract 43 from 50 to get 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 9:
When dividing 70 by 43, we get 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 11893.511
Subtracting 43 from 70 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final result is 11893.511 with a remainder of 0.0027.