678566 divided by 42 
We want to divide 678566 by 42.

Going ahead to step 1:
When dividing 6 by 42, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 42

Advancing to step 2:
When dividing 67 by 42, we get 1 with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 42 from 67, we get 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 42

Moving on to step 3:
If we divide 258 by 42, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 252 from 258 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 42

Step 4:
42 goes into 65 1 times with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 161.0
The remainder is 23 after subtracting 42 from 65.
Fetch the next digit (6) from the dividend, attach it to 23 and continue: 236 / 42

Step 5:
236 divided by 42 is 5 with a remainder of 26.
Use 5 as the next digit of our solution. 
Result so far: 1615.0
The remainder is 26 after subtracting 210 from 236.
Fetch the next digit (6) from the dividend, attach it to 26 and continue: 266 / 42

Going ahead to step 6:
42 can be fit into 266 6 times, resulting in a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 16156.0
If we subtract 252 from 266, we get 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:
42 can be fit into 140 3 times, resulting in a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 16156.3
Subtract 126 from 140 to get 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 8:
140 divided by 42 is 3 with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 16156.33
Subtract 126 from 140 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 16156.33 and a remainder of 0.014.