174271 divided by 43 
We want to divide 174271 by 43.

Let's proceed to step 1:
1 divided by 43 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 43

On to step 2:
17 divided by 43 is 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 43

Moving on to step 3:
43 can be fit into 174 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 4.0
If we take 172 away from 174, we end up with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 43

Step 4:
The number 43 fits into 22 0 times, leaving a remainder of 22.
The next digit of our result is 0. 
Result so far: 40.0
Subtracting 0 from 22 leaves us with 22.
Grab the next digit (7) from the dividend, add it to 22, then carry on: 227 / 43

Step 5:
43 goes into 227 5 times with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 405.0
The remainder is 12 after subtracting 215 from 227.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 43

Moving on to step 6:
If we divide 121 by 43, we get 2 and a remainder of 35.
Write down 2 as next digit of the result. 
Result so far: 4052.0
If we subtract 86 from 121, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
When dividing 350 by 43, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 4052.8
Subtracting 344 from 350 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
60 divided by 43 is 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 4052.81
Subtract 43 from 60 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 9:
170 divided by 43 is 3 with a remainder of 41.
Write down 3 as next digit of the result. 
Result so far: 4052.813
Subtracting 129 from 170 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 10:
43 goes into 410 9 times with a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 4052.8139
Subtracting 387 from 410 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 11:
The number 43 fits into 230 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 4052.81395
If we take 215 away from 230, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
43 can be fit into 150 3 times, resulting in a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 4052.813953
Deduct 129 from 150 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 13:
210 divided by 43 is 4 with a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 4052.8139534
Subtracting 172 from 210 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 14:
The number 43 fits into 380 8 times, leaving a remainder of 36.
The next digit of our result is 8. 
Result so far: 4052.81395348
Subtracting 344 from 380 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 4052.81395348 and a remainder of 3.6e-08.