172114 ÷ 43 
We want to divide 172114 by 43.

Step 1:
The number 43 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 43

Step 2:
17 divided by 43 is 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 43

Going ahead to step 3:
43 goes into 172 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 172 from 172 to get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 43

Let's proceed to step 4:
When dividing 1 by 43, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 40.0
If we subtract 0 from 1, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 43

Advancing to step 5:
11 divided by 43 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 400.0
Deduct 0 from 11 and we're left with 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 43

On to step 6:
114 divided by 43 is 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 4002.0
Subtracting 86 from 114 leaves us 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.

Step 7:
If we divide 280 by 43, we get 6 and a remainder of 22.
The next digit of our result is 6. 
Result so far: 4002.6
Subtract 258 from 280 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
When dividing 220 by 43, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 4002.65
Subtract 215 from 220 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
If we divide 50 by 43, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 4002.651
Subtract 43 from 50 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
When dividing 70 by 43, we get 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 4002.6511
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.

Our division results in 4002.6511 with a remaining 0.00027.