580342 ÷ 43 
Let's see how many times 43 fits into 580342.

Going ahead to step 1:
When dividing 5 by 43, we get 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.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 43

Step 2:
43 goes into 58 1 times with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 43 away from 58, we end up with 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 43

Advancing to step 3:
The number 43 fits into 150 3 times, leaving a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 13.0
Deduct 129 from 150 and we're left with 21.
Bring next digit (3) of the dividend behind the 21 and repeat the process: 213 / 43

Moving on to step 4:
43 goes into 213 4 times with a remainder of 41.
Write down 4 as next digit of the result. 
Result so far: 134.0
Deduct 172 from 213 and we're left with 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 43

On to step 5:
414 divided by 43 is 9 with a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 1349.0
If we take 387 away from 414, we end up with 27.
Include the next digit (2) from the dividend after 27, then repeat: 272 / 43

On to step 6:
If we divide 272 by 43, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 13496.0
Subtract 258 from 272 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
140 divided by 43 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 13496.3
The remainder is 11 after subtracting 129 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
110 divided by 43 is 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 13496.32
The remainder is 24 after subtracting 86 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
240 divided by 43 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 13496.325
Subtract 215 from 240 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
The number 43 fits into 250 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 13496.3255
If we take 215 away from 250, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 13496.3255 with a remaining 0.00035.