65933 ÷ 60 
We want to divide 65933 by 60.

Let's proceed to step 1:
When dividing 6 by 60, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 60

Moving on to step 2:
60 can be fit into 65 1 times, resulting in a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 60 from 65 and we're left with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 60

Advancing to step 3:
The number 60 fits into 59 0 times, leaving a remainder of 59.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 59 to get 59.
Take the next digit (3) from the dividend and append it to 59, then repeat: 593 / 60

On to step 4:
60 goes into 593 9 times with a remainder of 53.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
If we subtract 540 from 593, we get 53.
Include the next digit (3) from the dividend after 53, then repeat: 533 / 60

On to step 5:
60 goes into 533 8 times with a remainder of 53.
The number 8 becomes the next digit in our result. 
Result so far: 1098.0
If we take 480 away from 533, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 6:
530 divided by 60 is 8 with a remainder of 50.
Put 8 as the next digit of the answer. 
Result so far: 1098.8
Subtracting 480 from 530 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
If we divide 500 by 60, we get 8 and a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 1098.88
The remainder is 20 after subtracting 480 from 500.
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 1098.88, and the remainder is 0.02.