We're dividing 513342 by 43 
We want to divide 513342 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
If we take 0 away from 5, we end up with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 43

Let's proceed 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
Deduct 43 from 51 and we're left with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 43

Going ahead to step 3:
When dividing 83 by 43, we get 1 with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 43 from 83 and we're left with 40.
Include the next digit (3) from the dividend after 40, then repeat: 403 / 43

Going ahead to step 4:
When dividing 403 by 43, we get 9 with a remainder of 16.
Write down 9 as next digit of the result. 
Result so far: 119.0
Deduct 387 from 403 and we're left with 16.
Grab the next digit (4) from the dividend, add it to 16, then carry on: 164 / 43

Going ahead to step 5:
The number 43 fits into 164 3 times, leaving a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 1193.0
If we take 129 away from 164, we end up with 35.
Bring next digit (2) of the dividend behind the 35 and repeat the process: 352 / 43

Let's proceed to step 6:
If we divide 352 by 43, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 11938.0
If we take 344 away from 352, we end up 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 7:
When dividing 80 by 43, we get 1 with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 11938.1
Deduct 43 from 80 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
If we divide 370 by 43, we get 8 and a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 11938.18
Deduct 344 from 370 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
260 divided by 43 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 11938.186
If we subtract 258 from 260, we 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.

Advancing to step 10:
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: 11938.186
If we take 0 away from 20, we end up with 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 11:
The number 43 fits into 200 4 times, leaving a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 11938.18604
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.

Advancing to step 12:
43 can be fit into 280 6 times, resulting in a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 11938.186046
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.

Let's proceed to step 13:
The number 43 fits into 220 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 11938.1860465
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.

Moving on to step 14:
The number 43 fits into 50 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 11938.18604651
The remainder is 7 after subtracting 43 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 11938.18604651 with a balance of 7e-09.