We look at the division of 906142 by 16 
Our goal is to divide 906142 by 16.

On to step 1:
16 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 16

Going ahead to step 2:
When dividing 90 by 16, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 80 from 90, we get 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 16

Moving on to step 3:
The number 16 fits into 106 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
If we take 96 away from 106, we end up with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 16

Let's proceed to step 4:
16 goes into 101 6 times with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 566.0
The remainder is 5 after subtracting 96 from 101.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 16

Let's proceed to step 5:
When dividing 54 by 16, we get 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 5663.0
The remainder is 6 after subtracting 48 from 54.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 16

On to step 6:
The number 16 fits into 62 3 times, leaving a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 56633.0
Subtracting 48 from 62 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
When dividing 140 by 16, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 56633.8
If we subtract 128 from 140, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
16 can be fit into 120 7 times, resulting in a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 56633.87
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 56633.875
If we subtract 80 from 80, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 56633.875
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 11:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 56633.875
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 56633.875 with a balance of 0.0.