We're dividing 333314 by 60 
We want to divide 333314 by 60.

Advancing to step 1:
The number 60 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 60

Step 2:
If we divide 33 by 60, we get 0 and a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 60

Let's proceed to step 3:
The number 60 fits into 333 5 times, leaving a remainder of 33.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 300 from 333, we get 33.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 60

Going ahead to step 4:
60 can be fit into 333 5 times, resulting in a remainder of 33.
The next digit of our result is 5. 
Result so far: 55.0
The remainder is 33 after subtracting 300 from 333.
Take the next digit (1) from the dividend and append it to 33, then repeat: 331 / 60

Going ahead to step 5:
When dividing 331 by 60, we get 5 with a remainder of 31.
Record the quotient 5 as the next digit in the result. 
Result so far: 555.0
Subtract 300 from 331 to get 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 60

Moving on to step 6:
60 goes into 314 5 times with a remainder of 14.
The next digit of our result is 5. 
Result so far: 5555.0
Deduct 300 from 314 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
If we divide 140 by 60, we get 2 and a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 5555.2
Deduct 120 from 140 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.

Step 8:
60 goes into 200 3 times with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 5555.23
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:
When dividing 200 by 60, we get 3 with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 5555.233
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.

The quotient of the division is 5555.233, and the remainder is 0.002.