588945 ÷ 42 
Our goal is to divide 588945 by 42.

Let's proceed to step 1:
If we divide 5 by 42, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 42

On to step 2:
42 can be fit into 58 1 times, resulting in a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 42 from 58 leaves us with 16.
Include the next digit (8) from the dividend after 16, then repeat: 168 / 42

On to step 3:
42 goes into 168 4 times with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we take 168 away from 168, we end up with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 42

Step 4:
42 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 140.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 42

Moving on to step 5:
If we divide 94 by 42, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 1402.0
Subtract 84 from 94 to get 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 42

Moving on to step 6:
If we divide 105 by 42, we get 2 and a remainder of 21.
Put 2 as the next digit of the answer. 
Result so far: 14022.0
Subtracting 84 from 105 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
When dividing 210 by 42, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 14022.5
Subtract 210 from 210 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.

Going ahead to step 8:
When dividing 0 by 42, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 14022.5
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.

Going ahead to step 9:
When dividing 0 by 42, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 14022.5
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.

In conclusion, the division gives 14022.5 with a balance of 0.0.