We look at the division of 274235 by 60 
Let's see how many times 60 fits into 274235.

Advancing to step 1:
60 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 60

Moving on to step 2:
The number 60 fits into 27 0 times, leaving a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 27, we end up with 27.
Grab the next digit (4) from the dividend, add it to 27, then carry on: 274 / 60

Step 3:
274 divided by 60 is 4 with a remainder of 34.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 240 from 274 and we're left with 34.
Bring next digit (2) of the dividend behind the 34 and repeat the process: 342 / 60

Step 4:
342 divided by 60 is 5 with a remainder of 42.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
Subtract 300 from 342 to get 42.
Fetch the next digit (3) from the dividend, attach it to 42 and continue: 423 / 60

Step 5:
423 divided by 60 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 457.0
The remainder is 3 after subtracting 420 from 423.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 60

Going ahead to step 6:
If we divide 35 by 60, we get 0 and a remainder of 35.
The next digit of our result is 0. 
Result so far: 4570.0
If we subtract 0 from 35, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 7:
If we divide 350 by 60, we get 5 and a remainder of 50.
The next digit of our result is 5. 
Result so far: 4570.5
If we subtract 300 from 350, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
The number 60 fits into 500 8 times, leaving a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 4570.58
Deduct 480 from 500 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
60 goes into 200 3 times with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 4570.583
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
The number 60 fits into 200 3 times, leaving a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 4570.5833
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 4570.5833, and the remainder is 0.0002.