588172 ÷ 71 
Our goal is to divide 588172 by 71.

Advancing to step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 71

Step 2:
When dividing 58 by 71, we get 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Take the next digit (8) from the dividend and append it to 58, then repeat: 588 / 71

Moving on to step 3:
588 divided by 71 is 8 with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 568 from 588, we get 20.
Include the next digit (1) from the dividend after 20, then repeat: 201 / 71

Advancing to step 4:
The number 71 fits into 201 2 times, leaving a remainder of 59.
Use 2 as the next digit of our solution. 
Result so far: 82.0
If we take 142 away from 201, we end up with 59.
Fetch the next digit (7) from the dividend, attach it to 59 and continue: 597 / 71

Moving on to step 5:
When dividing 597 by 71, we get 8 with a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 828.0
Subtracting 568 from 597 leaves us with 29.
Bring next digit (2) of the dividend behind the 29 and repeat the process: 292 / 71

Advancing to step 6:
The number 71 fits into 292 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 8284.0
If we take 284 away from 292, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
80 divided by 71 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 8284.1
Subtracting 71 from 80 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
71 can be fit into 90 1 times, resulting in a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 8284.11
Subtracting 71 from 90 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

After the division, we end up with 8284.11 and a remainder of 0.019.