590309 ÷ 85 
We want to divide 590309 by 85.

Going ahead to step 1:
85 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 85

Moving on to step 2:
When dividing 59 by 85, we get 0 with a remainder of 59.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 59, we end up with 59.
Append the next digit (0) from the dividend to 59 and continue with: 590 / 85

Advancing to step 3:
85 can be fit into 590 6 times, resulting in a remainder of 80.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 510 from 590 and we're left with 80.
Bring next digit (3) of the dividend behind the 80 and repeat the process: 803 / 85

Moving on to step 4:
803 divided by 85 is 9 with a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 69.0
The remainder is 38 after subtracting 765 from 803.
Grab the next digit (0) from the dividend, add it to 38, then carry on: 380 / 85

Going ahead to step 5:
When dividing 380 by 85, we get 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 694.0
Subtracting 340 from 380 leaves us with 40.
Include the next digit (9) from the dividend after 40, then repeat: 409 / 85

Advancing to step 6:
The number 85 fits into 409 4 times, leaving a remainder of 69.
Use 4 as the next digit of our solution. 
Result so far: 6944.0
The remainder is 69 after subtracting 340 from 409.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 7:
85 goes into 690 8 times with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 6944.8
Subtracting 680 from 690 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.

Moving on to step 8:
When dividing 100 by 85, we get 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 6944.81
If we take 85 away from 100, we end up 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.

Advancing to step 9:
The number 85 fits into 150 1 times, leaving a remainder of 65.
Record the quotient 1 as the next digit in the result. 
Result so far: 6944.811
If we subtract 85 from 150, we 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 6944.811, and the remainder is 0.0065.