We're dividing 165218 by 43 
Our goal is to divide 165218 by 43.

Advancing to step 1:
43 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 43

Going ahead to step 2:
43 goes into 16 0 times with a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 16, we end up with 16.
Take the next digit (5) from the dividend and append it to 16, then repeat: 165 / 43

Advancing to step 3:
43 goes into 165 3 times with a remainder of 36.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 36 after subtracting 129 from 165.
Include the next digit (2) from the dividend after 36, then repeat: 362 / 43

Step 4:
When dividing 362 by 43, we get 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 38.0
Subtracting 344 from 362 leaves us with 18.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 43

Moving on to step 5:
The number 43 fits into 181 4 times, leaving a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 384.0
Deduct 172 from 181 and we're left with 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 43

Step 6:
43 can be fit into 98 2 times, resulting in a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 3842.0
If we subtract 86 from 98, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
43 goes into 120 2 times with a remainder of 34.
Write down 2 as next digit of the result. 
Result so far: 3842.2
If we subtract 86 from 120, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
43 can be fit into 340 7 times, resulting in a remainder of 39.
Put 7 as the next digit of the answer. 
Result so far: 3842.27
If we take 301 away from 340, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 9:
43 can be fit into 390 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 3842.279
If we subtract 387 from 390, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
43 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 3842.279
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
If we divide 300 by 43, we get 6 and a remainder of 42.
The next digit of our result is 6. 
Result so far: 3842.27906
Subtracting 258 from 300 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 12:
420 divided by 43 is 9 with a remainder of 33.
The next digit of our result is 9. 
Result so far: 3842.279069
If we subtract 387 from 420, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 13:
330 divided by 43 is 7 with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 3842.2790697
Subtract 301 from 330 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 14:
290 divided by 43 is 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 3842.27906976
Subtracting 258 from 290 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 3842.27906976 with a balance of 3.2e-08.