Let's divide 905742 by 85
Our goal is to divide 905742 by 85.

Advancing to step 1:
85 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 85

On to step 2:
When dividing 90 by 85, we get 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 85 from 90 to get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 85

Moving on to step 3:
85 can be fit into 55 0 times, resulting in a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 55, we end up with 55.
Take the next digit (7) from the dividend and append it to 55, then repeat: 557 / 85

Moving on to step 4:
When dividing 557 by 85, we get 6 with a remainder of 47.
The next digit of our result is 6. 
Result so far: 106.0
Subtracting 510 from 557 leaves us with 47.
Append the next digit (4) from the dividend to 47 and continue with: 474 / 85

On to step 5:
85 goes into 474 5 times with a remainder of 49.
Record the quotient 5 as the next digit in the result. 
Result so far: 1065.0
If we subtract 425 from 474, we get 49.
Take the next digit (2) from the dividend and append it to 49, then repeat: 492 / 85

On to step 6:
492 divided by 85 is 5 with a remainder of 67.
The next digit of our result is 5. 
Result so far: 10655.0
Deduct 425 from 492 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 7:
85 goes into 670 7 times with a remainder of 75.
Use 7 as the next digit of our solution. 
Result so far: 10655.7
Subtract 595 from 670 to get 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 8:
85 goes into 750 8 times with a remainder of 70.
Write down 8 as next digit of the result. 
Result so far: 10655.78
Subtract 680 from 750 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 9:
When dividing 700 by 85, we get 8 with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 10655.788
Deduct 680 from 700 and we're left with 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 final result is 10655.788 with a remainder of 0.002.