We're dividing 87577 by 71 
Our goal is to divide 87577 by 71.

Going ahead to step 1:
71 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 71

Moving on to step 2:
The number 71 fits into 87 1 times, leaving a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 16 after subtracting 71 from 87.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 71

Advancing to step 3:
When dividing 165 by 71, we get 2 with a remainder of 23.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we subtract 142 from 165, we get 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 71

Step 4:
71 goes into 237 3 times with a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 123.0
Deduct 213 from 237 and we're left with 24.
Bring next digit (7) of the dividend behind the 24 and repeat the process: 247 / 71

Let's proceed to step 5:
The number 71 fits into 247 3 times, leaving a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 1233.0
The remainder is 34 after subtracting 213 from 247.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 6:
The number 71 fits into 340 4 times, leaving a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 1233.4
Subtracting 284 from 340 leaves us 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.

Moving on to step 7:
If we divide 560 by 71, we get 7 and a remainder of 63.
Record the quotient 7 as the next digit in the result. 
Result so far: 1233.47
If we take 497 away from 560, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 8:
71 goes into 630 8 times with a remainder of 62.
The next digit of our result is 8. 
Result so far: 1233.478
Subtract 568 from 630 to 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.

On to step 9:
71 can be fit into 620 8 times, resulting in a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 1233.4788
The remainder is 52 after subtracting 568 from 620.
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 1233.4788 and a remainder of 0.00052.