668313 divided by 60 
Let's see how many times 60 fits into 668313.

Going ahead to step 1:
When dividing 6 by 60, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 60

On to step 2:
66 divided by 60 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 60 from 66 leaves us with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 60

Going ahead to step 3:
The number 60 fits into 68 1 times, leaving a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Deduct 60 from 68 and we're left with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 60

Let's proceed to step 4:
60 goes into 83 1 times with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
Subtract 60 from 83 to get 23.
Grab the next digit (1) from the dividend, add it to 23, then carry on: 231 / 60

Moving on to step 5:
If we divide 231 by 60, we get 3 and a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 1113.0
If we subtract 180 from 231, we get 51.
Fetch the next digit (3) from the dividend, attach it to 51 and continue: 513 / 60

Advancing to step 6:
The number 60 fits into 513 8 times, leaving a remainder of 33.
The next digit of our result is 8. 
Result so far: 11138.0
Subtracting 480 from 513 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
60 goes into 330 5 times with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 11138.5
The remainder is 30 after subtracting 300 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
60 goes into 300 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 11138.55
Subtract 300 from 300 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 11138.55, and the remainder is 0.0.