340041 ÷ 43 
We want to figure out the number of times 340041 can be divided by 43.

Going ahead to step 1:
43 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 43

Let's proceed to step 2:
43 goes into 34 0 times with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Append the next digit (0) from the dividend to 34 and continue with: 340 / 43

Going ahead to step 3:
The number 43 fits into 340 7 times, leaving a remainder of 39.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 301 from 340 leaves us with 39.
Append the next digit (0) from the dividend to 39 and continue with: 390 / 43

Going ahead to step 4:
43 goes into 390 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 79.0
Deduct 387 from 390 and we're left with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 43

Going ahead to step 5:
If we divide 34 by 43, we get 0 and a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 790.0
The remainder is 34 after subtracting 0 from 34.
Take the next digit (1) from the dividend and append it to 34, then repeat: 341 / 43

Advancing to step 6:
43 can be fit into 341 7 times, resulting in a remainder of 40.
Use 7 as the next digit of our solution. 
Result so far: 7907.0
If we subtract 301 from 341, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
When dividing 400 by 43, we get 9 with a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 7907.9
If we subtract 387 from 400, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
If we divide 130 by 43, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 7907.93
Deduct 129 from 130 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
The number 43 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7907.93
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
100 divided by 43 is 2 with a remainder of 14.
The next digit of our result is 2. 
Result so far: 7907.9302
Subtract 86 from 100 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.

On to step 11:
140 divided by 43 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 7907.93023
Deduct 129 from 140 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
43 goes into 110 2 times with a remainder of 24.
The next digit of our result is 2. 
Result so far: 7907.930232
Subtracting 86 from 110 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 13:
When dividing 240 by 43, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7907.9302325
Subtracting 215 from 240 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 14:
When dividing 250 by 43, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 7907.93023255
Deduct 215 from 250 and we're left 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.

After the division, we end up with 7907.93023255 and a remainder of 3.5e-08.