580177 ÷ 85 
Our goal is to divide 580177 by 85.

Moving on to step 1:
85 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 85

Let's proceed to step 2:
85 can be fit into 58 0 times, resulting in a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Fetch the next digit (0) from the dividend, attach it to 58 and continue: 580 / 85

Step 3:
85 can be fit into 580 6 times, resulting in a remainder of 70.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 510 from 580 and we're left with 70.
Bring next digit (1) of the dividend behind the 70 and repeat the process: 701 / 85

Let's proceed to step 4:
If we divide 701 by 85, we get 8 and a remainder of 21.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
The remainder is 21 after subtracting 680 from 701.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 85

Advancing to step 5:
If we divide 217 by 85, we get 2 and a remainder of 47.
The number 2 becomes the next digit in our result. 
Result so far: 682.0
Subtracting 170 from 217 leaves us with 47.
Bring next digit (7) of the dividend behind the 47 and repeat the process: 477 / 85

Moving on to step 6:
If we divide 477 by 85, we get 5 and a remainder of 52.
Write down 5 as next digit of the result. 
Result so far: 6825.0
Subtract 425 from 477 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 7:
85 can be fit into 520 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 6825.6
Subtracting 510 from 520 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
The number 85 fits into 100 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 6825.61
Subtract 85 from 100 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
If we divide 150 by 85, we get 1 and a remainder of 65.
Use 1 as the next digit of our solution. 
Result so far: 6825.611
Deduct 85 from 150 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

In conclusion, the division gives 6825.611 with a balance of 0.0065.