We're dividing 585508 by 85 
We want to divide 585508 by 85.

Advancing to step 1:
85 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 85

Step 2:
58 divided by 85 is 0 with a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Append the next digit (5) from the dividend to 58 and continue with: 585 / 85

Moving on to step 3:
85 goes into 585 6 times with a remainder of 75.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 510 from 585 leaves us with 75.
Take the next digit (5) from the dividend and append it to 75, then repeat: 755 / 85

Advancing to step 4:
If we divide 755 by 85, we get 8 and a remainder of 75.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
Deduct 680 from 755 and we're left with 75.
Take the next digit (0) from the dividend and append it to 75, then repeat: 750 / 85

Let's proceed to step 5:
750 divided by 85 is 8 with a remainder of 70.
Record the quotient 8 as the next digit in the result. 
Result so far: 688.0
Deduct 680 from 750 and we're left with 70.
Fetch the next digit (8) from the dividend, attach it to 70 and continue: 708 / 85

Moving on to step 6:
85 can be fit into 708 8 times, resulting in a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 6888.0
If we subtract 680 from 708, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 7:
85 can be fit into 280 3 times, resulting in a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 6888.3
If we subtract 255 from 280, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
If we divide 250 by 85, we get 2 and a remainder of 80.
Record the quotient 2 as the next digit in the result. 
Result so far: 6888.32
If we take 170 away from 250, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 9:
800 divided by 85 is 9 with a remainder of 35.
Use 9 as the next digit of our solution. 
Result so far: 6888.329
Subtracting 765 from 800 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
85 can be fit into 350 4 times, resulting in a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 6888.3294
The remainder is 10 after subtracting 340 from 350.
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 11:
85 can be fit into 100 1 times, resulting in a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 6888.32941
Deduct 85 from 100 and we're left with 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 12:
150 divided by 85 is 1 with a remainder of 65.
Record the quotient 1 as the next digit in the result. 
Result so far: 6888.329411
Subtract 85 from 150 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The quotient of the division is 6888.329411, and the remainder is 6.5e-06.