We look at the division of 588842 by 16 
We want to divide 588842 by 16.

Going ahead to step 1:
When dividing 5 by 16, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 16

On to step 2:
16 can be fit into 58 3 times, resulting in a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 48 from 58 and we're left with 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 16

Step 3:
108 divided by 16 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 36.0
Subtracting 96 from 108 leaves us with 12.
Take the next digit (8) from the dividend and append it to 12, then repeat: 128 / 16

Going ahead to step 4:
If we divide 128 by 16, we get 8 and a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 368.0
Subtracting 128 from 128 leaves us with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 16

Moving on to step 5:
When dividing 4 by 16, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 3680.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 16

On to step 6:
42 divided by 16 is 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 36802.0
If we subtract 32 from 42, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
When dividing 100 by 16, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 36802.6
If we take 96 away from 100, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
40 divided by 16 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 36802.62
Subtract 32 from 40 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 36802.625
If we take 80 away from 80, we end up 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.

Let's proceed to step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 36802.625
Subtract 0 from 0 to 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.

Advancing to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 36802.625
If we take 0 away from 0, we end up 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.

The final outcome is 36802.625, with a leftover of 0.0.