We look at the division of 598976 by 42 
We're looking to find how many times 42 goes into 598976.

Advancing to step 1:
42 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 42

Let's proceed to step 2:
59 divided by 42 is 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 42 away from 59, we end up with 17.
Grab the next digit (8) from the dividend, add it to 17, then carry on: 178 / 42

Step 3:
The number 42 fits into 178 4 times, leaving a remainder of 10.
The next digit of our result is 4. 
Result so far: 14.0
Subtracting 168 from 178 leaves us with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 42

Moving on to step 4:
The number 42 fits into 109 2 times, leaving a remainder of 25.
Put 2 as the next digit of the answer. 
Result so far: 142.0
The remainder is 25 after subtracting 84 from 109.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 42

Advancing to step 5:
When dividing 257 by 42, we get 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 1426.0
Deduct 252 from 257 and we're left with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 42

On to step 6:
42 goes into 56 1 times with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 14261.0
Subtracting 42 from 56 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.

Let's proceed to step 7:
If we divide 140 by 42, we get 3 and a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 14261.3
If we take 126 away from 140, we end up 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.

Moving on to step 8:
The number 42 fits into 140 3 times, leaving a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 14261.33
The remainder is 14 after subtracting 126 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 14261.33 with a remainder of 0.014.