538564 ÷ 42 
We're looking to find how many times 42 goes into 538564.

Let's proceed to step 1:
When dividing 5 by 42, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 42

Advancing to step 2:
53 divided by 42 is 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 42 from 53 and we're left with 11.
Include the next digit (8) from the dividend after 11, then repeat: 118 / 42

Advancing to step 3:
When dividing 118 by 42, we get 2 with a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 84 from 118 and we're left with 34.
Take the next digit (5) from the dividend and append it to 34, then repeat: 345 / 42

Let's proceed to step 4:
When dividing 345 by 42, we get 8 with a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 128.0
Subtracting 336 from 345 leaves us with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 42

Step 5:
The number 42 fits into 96 2 times, leaving a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 1282.0
Subtracting 84 from 96 leaves us with 12.
Include the next digit (4) from the dividend after 12, then repeat: 124 / 42

On to step 6:
If we divide 124 by 42, we get 2 and a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 12822.0
Deduct 84 from 124 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 12822.9
Deduct 378 from 400 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
If we divide 220 by 42, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 12822.95
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
42 goes into 100 2 times with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 12822.952
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
42 goes into 160 3 times with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 12822.9523
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 11:
42 can be fit into 340 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 12822.95238
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
When dividing 40 by 42, we get 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 12822.95238
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 13:
42 goes into 400 9 times with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 12822.9523809
The remainder is 22 after subtracting 378 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 14:
220 divided by 42 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 12822.95238095
Subtracting 210 from 220 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 12822.95238095, with a leftover of 1e-08.