18577 ÷ 71 
Our goal is to divide 18577 by 71.

Step 1:
1 divided by 71 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 71

Moving on to step 2:
When dividing 18 by 71, we get 0 with a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 18, we end up with 18.
Grab the next digit (5) from the dividend, add it to 18, then carry on: 185 / 71

Going ahead to step 3:
185 divided by 71 is 2 with a remainder of 43.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 43 after subtracting 142 from 185.
Grab the next digit (7) from the dividend, add it to 43, then carry on: 437 / 71

Let's proceed to step 4:
When dividing 437 by 71, we get 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Deduct 426 from 437 and we're left with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 71

Advancing to step 5:
The number 71 fits into 117 1 times, leaving a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 261.0
Subtract 71 from 117 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 6:
If we divide 460 by 71, we get 6 and a remainder of 34.
The next digit of our result is 6. 
Result so far: 261.6
Subtract 426 from 460 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
When dividing 340 by 71, we get 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 261.64
If we take 284 away from 340, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 8:
71 goes into 560 7 times with a remainder of 63.
The next digit of our result is 7. 
Result so far: 261.647
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.

Moving on to step 9:
If we divide 630 by 71, we get 8 and a remainder of 62.
Write down 8 as next digit of the result. 
Result so far: 261.6478
If we subtract 568 from 630, we get 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 10:
If we divide 620 by 71, we get 8 and a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 261.64788
Subtracting 568 from 620 leaves us 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.

The final outcome is 261.64788, with a leftover of 5.2e-05.