We look at the division of 431567 by 85 
We want to figure out the number of times 431567 can be divided by 85.

Step 1:
4 divided by 85 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 85

Moving on to step 2:
85 can be fit into 43 0 times, resulting in a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Take the next digit (1) from the dividend and append it to 43, then repeat: 431 / 85

Step 3:
85 goes into 431 5 times with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 425 from 431, we get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 85

Let's proceed to step 4:
85 goes into 65 0 times with a remainder of 65.
The next digit of our result is 0. 
Result so far: 50.0
The remainder is 65 after subtracting 0 from 65.
Grab the next digit (6) from the dividend, add it to 65, then carry on: 656 / 85

Step 5:
85 can be fit into 656 7 times, resulting in a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 507.0
The remainder is 61 after subtracting 595 from 656.
Include the next digit (7) from the dividend after 61, then repeat: 617 / 85

On to step 6:
85 goes into 617 7 times with a remainder of 22.
Write down 7 as next digit of the result. 
Result so far: 5077.0
Subtract 595 from 617 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
85 goes into 220 2 times with a remainder of 50.
Use 2 as the next digit of our solution. 
Result so far: 5077.2
If we subtract 170 from 220, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
85 can be fit into 500 5 times, resulting in a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 5077.25
If we take 425 away from 500, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 9:
If we divide 750 by 85, we get 8 and a remainder of 70.
The number 8 becomes the next digit in our result. 
Result so far: 5077.258
If we take 680 away from 750, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 10:
700 divided by 85 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 5077.2588
If we subtract 680 from 700, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 5077.2588, and the remainder is 0.0002.