42274 ÷ 60 
Our goal is to divide 42274 by 60.

Going ahead to step 1:
60 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 60

On to step 2:
If we divide 42 by 60, we get 0 and a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Include the next digit (2) from the dividend after 42, then repeat: 422 / 60

Let's proceed to step 3:
When dividing 422 by 60, we get 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 420 from 422 and we're left with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 60

Step 4:
60 goes into 27 0 times with a remainder of 27.
The next digit of our result is 0. 
Result so far: 70.0
Subtracting 0 from 27 leaves us with 27.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 60

Advancing to step 5:
60 can be fit into 274 4 times, resulting in a remainder of 34.
The next digit of our result is 4. 
Result so far: 704.0
If we subtract 240 from 274, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 6:
340 divided by 60 is 5 with a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 704.5
Subtracting 300 from 340 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.

On to step 7:
If we divide 400 by 60, we get 6 and a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 704.56
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
60 goes into 400 6 times with a remainder of 40.
The next digit of our result is 6. 
Result so far: 704.566
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 704.566 with a remainder of 0.004.