42566 ÷ 74 
Our goal is to divide 42566 by 74.

Advancing to step 1:
4 divided by 74 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 74

Step 2:
When dividing 42 by 74, we get 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Append the next digit (5) from the dividend to 42 and continue with: 425 / 74

On to step 3:
If we divide 425 by 74, we get 5 and a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 370 from 425 to get 55.
Take the next digit (6) from the dividend and append it to 55, then repeat: 556 / 74

Going ahead to step 4:
If we divide 556 by 74, we get 7 and a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
Subtracting 518 from 556 leaves us with 38.
Fetch the next digit (6) from the dividend, attach it to 38 and continue: 386 / 74

Going ahead to step 5:
74 can be fit into 386 5 times, resulting in a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 575.0
The remainder is 16 after subtracting 370 from 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 6:
74 goes into 160 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 575.2
Subtracting 148 from 160 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
120 divided by 74 is 1 with a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 575.21
The remainder is 46 after subtracting 74 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 8:
If we divide 460 by 74, we get 6 and a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 575.216
Deduct 444 from 460 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.

Going ahead to step 9:
74 can be fit into 160 2 times, resulting in a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 575.2162
If we take 148 away from 160, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
When dividing 120 by 74, we get 1 with a remainder of 46.
Record the quotient 1 as the next digit in the result. 
Result so far: 575.21621
Deduct 74 from 120 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 11:
74 goes into 460 6 times with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 575.216216
If we take 444 away from 460, we end up 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.

Advancing to step 12:
If we divide 160 by 74, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 575.2162162
If we subtract 148 from 160, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
74 can be fit into 120 1 times, resulting in a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 575.21621621
Subtract 74 from 120 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

After the division, we end up with 575.21621621 and a remainder of 4.6e-08.