568890 ÷ 42 
Our goal is to divide 568890 by 42.

Advancing to step 1:
If we divide 5 by 42, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 42

Step 2:
If we divide 56 by 42, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 42 from 56 and we're left with 14.
Bring next digit (8) of the dividend behind the 14 and repeat the process: 148 / 42

Step 3:
148 divided by 42 is 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 126 from 148 leaves us with 22.
Bring next digit (8) of the dividend behind the 22 and repeat the process: 228 / 42

Advancing to step 4:
42 goes into 228 5 times with a remainder of 18.
Put 5 as the next digit of the answer. 
Result so far: 135.0
The remainder is 18 after subtracting 210 from 228.
Take the next digit (9) from the dividend and append it to 18, then repeat: 189 / 42

Let's proceed to step 5:
189 divided by 42 is 4 with a remainder of 21.
Write down 4 as next digit of the result. 
Result so far: 1354.0
Subtracting 168 from 189 leaves us with 21.
Append the next digit (0) from the dividend to 21 and continue with: 210 / 42

Moving on to step 6:
42 can be fit into 210 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 13545.0
If we take 210 away from 210, 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.

Going ahead to step 7:
If we divide 0 by 42, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 13545.0
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.

On to step 8:
42 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 13545.0
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 13545.0 with a balance of 0.0.