We're dividing 514325 by 43 
We want to figure out the number of times 514325 can be divided by 43.

Step 1:
The number 43 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 43

On to step 2:
43 goes into 51 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 43 from 51 to get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 43

Step 3:
If we divide 84 by 43, we get 1 and a remainder of 41.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 43 from 84 to get 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 43

On to step 4:
43 can be fit into 413 9 times, resulting in a remainder of 26.
The next digit of our result is 9. 
Result so far: 119.0
Subtracting 387 from 413 leaves us with 26.
Bring next digit (2) of the dividend behind the 26 and repeat the process: 262 / 43

Step 5:
If we divide 262 by 43, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1196.0
The remainder is 4 after subtracting 258 from 262.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 43

On to step 6:
43 can be fit into 45 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 11961.0
If we take 43 away from 45, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
If we divide 20 by 43, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 11961.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
43 can be fit into 200 4 times, resulting in a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 11961.04
Deduct 172 from 200 and we're left 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.

Going ahead to step 9:
When dividing 280 by 43, we get 6 with a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 11961.046
Subtract 258 from 280 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 10:
The number 43 fits into 220 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 11961.0465
Subtracting 215 from 220 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
50 divided by 43 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 11961.04651
If we subtract 43 from 50, we 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 12:
When dividing 70 by 43, we get 1 with a remainder of 27.
The next digit of our result is 1. 
Result so far: 11961.046511
Deduct 43 from 70 and we're left 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 11961.046511 with a remainder of 2.7e-06.