We're dividing 335258 by 60 
We're looking to find how many times 60 goes into 335258.

Advancing to step 1:
If we divide 3 by 60, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 60

Going ahead to step 2:
60 goes into 33 0 times with a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 33 after subtracting 0 from 33.
Bring next digit (5) of the dividend behind the 33 and repeat the process: 335 / 60

Let's proceed to step 3:
60 can be fit into 335 5 times, resulting in a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 300 from 335 leaves us with 35.
Fetch the next digit (2) from the dividend, attach it to 35 and continue: 352 / 60

Let's proceed to step 4:
60 goes into 352 5 times with a remainder of 52.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
If we subtract 300 from 352, we get 52.
Bring next digit (5) of the dividend behind the 52 and repeat the process: 525 / 60

On to step 5:
525 divided by 60 is 8 with a remainder of 45.
Record the quotient 8 as the next digit in the result. 
Result so far: 558.0
Deduct 480 from 525 and we're left with 45.
Fetch the next digit (8) from the dividend, attach it to 45 and continue: 458 / 60

Step 6:
If we divide 458 by 60, we get 7 and a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 5587.0
Subtract 420 from 458 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
If we divide 380 by 60, we get 6 and a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 5587.6
The remainder is 20 after subtracting 360 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
The number 60 fits into 200 3 times, leaving a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 5587.63
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
60 goes into 200 3 times with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 5587.633
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.

Our division results in 5587.633 with a remaining 0.002.