We're dividing 172642 by 71 
Our goal is to divide 172642 by 71.

Advancing to step 1:
71 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 71

Moving on to step 2:
If we divide 17 by 71, we get 0 and a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 71

Going ahead to step 3:
71 can be fit into 172 2 times, resulting in a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 142 away from 172, we end up with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 71

Going ahead to step 4:
When dividing 306 by 71, we get 4 with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
Deduct 284 from 306 and we're left with 22.
Include the next digit (4) from the dividend after 22, then repeat: 224 / 71

Step 5:
224 divided by 71 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 243.0
If we take 213 away from 224, we end up with 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 71

On to step 6:
71 goes into 112 1 times with a remainder of 41.
Write down 1 as next digit of the result. 
Result so far: 2431.0
If we take 71 away from 112, we end up 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.

Let's proceed to step 7:
71 can be fit into 410 5 times, resulting in a remainder of 55.
The next digit of our result is 5. 
Result so far: 2431.5
If we subtract 355 from 410, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 8:
71 can be fit into 550 7 times, resulting in a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 2431.57
Subtracting 497 from 550 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 9:
The number 71 fits into 530 7 times, leaving a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 2431.577
If we subtract 497 from 530, 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.

The quotient of the division is 2431.577, and the remainder is 0.0033.