172018 ÷ 71 
We want to figure out the number of times 172018 can be divided by 71.

Going ahead to step 1:
71 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
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 / 71

Going ahead to step 2:
If we divide 17 by 71, we get 0 and a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 71

Advancing to step 3:
If we divide 172 by 71, we get 2 and a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 142 from 172 and we're left with 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 71

Step 4:
If we divide 300 by 71, we get 4 and a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 24.0
Deduct 284 from 300 and we're left with 16.
Fetch the next digit (1) from the dividend, attach it to 16 and continue: 161 / 71

Step 5:
When dividing 161 by 71, we get 2 with a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 242.0
Subtracting 142 from 161 leaves us with 19.
Fetch the next digit (8) from the dividend, attach it to 19 and continue: 198 / 71

Step 6:
71 goes into 198 2 times with a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 2422.0
The remainder is 56 after subtracting 142 from 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
If we divide 560 by 71, we get 7 and a remainder of 63.
The next digit of our result is 7. 
Result so far: 2422.7
The remainder is 63 after subtracting 497 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 8:
If we divide 630 by 71, we get 8 and a remainder of 62.
The next digit of our result is 8. 
Result so far: 2422.78
Deduct 568 from 630 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 9:
If we divide 620 by 71, we get 8 and a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 2422.788
Deduct 568 from 620 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 2422.788 and a remainder of 0.0052.