We look at the division of 562821 by 42 
We want to figure out the number of times 562821 can be divided by 42.

On to step 1:
42 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 42

On to step 2:
56 divided by 42 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 42 from 56 leaves us with 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 42

On to step 3:
When dividing 142 by 42, we get 3 with a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we subtract 126 from 142, we get 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 42

Let's proceed to step 4:
168 divided by 42 is 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 134.0
If we subtract 168 from 168, we get 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 42

On to step 5:
The number 42 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 1340.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 42

Going ahead to step 6:
21 divided by 42 is 0 with a remainder of 21.
The next digit of our result is 0. 
Result so far: 13400.0
Subtract 0 from 21 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
The number 42 fits into 210 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 13400.5
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.

Step 8:
0 divided by 42 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 13400.5
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.

Advancing to step 9:
42 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 13400.5
Deduct 0 from 0 and we're left 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.

The final result is 13400.5 with a remainder of 0.0.