42631 ÷ 85 
We want to divide 42631 by 85.

Let's proceed to step 1:
4 divided by 85 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 85

Going ahead to step 2:
42 divided by 85 is 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Take the next digit (6) from the dividend and append it to 42, then repeat: 426 / 85

Advancing to step 3:
85 goes into 426 5 times with a remainder of 1.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 1 after subtracting 425 from 426.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 85

On to step 4:
13 divided by 85 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 50.0
If we subtract 0 from 13, we get 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 85

Advancing to step 5:
If we divide 131 by 85, we get 1 and a remainder of 46.
Record the quotient 1 as the next digit in the result. 
Result so far: 501.0
Deduct 85 from 131 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 6:
When dividing 460 by 85, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 501.5
Subtract 425 from 460 to get 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 7:
85 goes into 350 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 501.54
Subtracting 340 from 350 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.

On to step 8:
The number 85 fits into 100 1 times, leaving a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 501.541
Subtracting 85 from 100 leaves us 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.

On to step 9:
If we divide 150 by 85, we get 1 and a remainder of 65.
Write down 1 as next digit of the result. 
Result so far: 501.5411
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 final result is 501.5411 with a remainder of 0.00065.