564811 ÷ 42 
We're looking to find how many times 42 goes into 564811.

Going ahead to step 1:
The number 42 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 42

Going ahead to step 2:
42 goes into 56 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 14 after subtracting 42 from 56.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 42

On to step 3:
144 divided by 42 is 3 with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we take 126 away from 144, we end up with 18.
Take the next digit (8) from the dividend and append it to 18, then repeat: 188 / 42

Step 4:
If we divide 188 by 42, we get 4 and a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 134.0
Subtracting 168 from 188 leaves us with 20.
Include the next digit (1) from the dividend after 20, then repeat: 201 / 42

Advancing to step 5:
201 divided by 42 is 4 with a remainder of 33.
Write down 4 as next digit of the result. 
Result so far: 1344.0
Subtract 168 from 201 to get 33.
Include the next digit (1) from the dividend after 33, then repeat: 331 / 42

Going ahead to step 6:
If we divide 331 by 42, we get 7 and a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 13447.0
Deduct 294 from 331 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
370 divided by 42 is 8 with a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 13447.8
The remainder is 34 after subtracting 336 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
340 divided by 42 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 13447.88
Deduct 336 from 340 and we're left 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.

Our division results in 13447.88 with a remaining 0.004.