343684 ÷ 43 
Our goal is to divide 343684 by 43.

Step 1:
The number 43 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 43

Going ahead to step 2:
The number 43 fits into 34 0 times, leaving a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Bring next digit (3) of the dividend behind the 34 and repeat the process: 343 / 43

Let's proceed to step 3:
43 can be fit into 343 7 times, resulting in a remainder of 42.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 301 from 343 to get 42.
Include the next digit (6) from the dividend after 42, then repeat: 426 / 43

Moving on to step 4:
426 divided by 43 is 9 with a remainder of 39.
The next digit of our result is 9. 
Result so far: 79.0
Deduct 387 from 426 and we're left with 39.
Bring next digit (8) of the dividend behind the 39 and repeat the process: 398 / 43

Let's proceed to step 5:
43 goes into 398 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 799.0
If we take 387 away from 398, we end up with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 43

Moving on to step 6:
43 can be fit into 114 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 7992.0
Deduct 86 from 114 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 7:
If we divide 280 by 43, we get 6 and a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 7992.6
Deduct 258 from 280 and we're left 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.

On to step 8:
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: 7992.65
The remainder is 5 after subtracting 215 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
43 can be fit into 50 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 7992.651
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.

Moving on to step 10:
43 can be fit into 70 1 times, resulting in a remainder of 27.
The next digit of our result is 1. 
Result so far: 7992.6511
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 7992.6511 with a remainder of 0.00027.