We're dividing 263013 by 60 
We want to figure out the number of times 263013 can be divided by 60.

Going ahead to step 1:
If we divide 2 by 60, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 60

Moving on to step 2:
26 divided by 60 is 0 with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 60

Going ahead to step 3:
60 goes into 263 4 times with a remainder of 23.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 240 from 263, we get 23.
Append the next digit (0) from the dividend to 23 and continue with: 230 / 60

Step 4:
The number 60 fits into 230 3 times, leaving a remainder of 50.
Write down 3 as next digit of the result. 
Result so far: 43.0
If we take 180 away from 230, we end up with 50.
Grab the next digit (1) from the dividend, add it to 50, then carry on: 501 / 60

Going ahead to step 5:
60 goes into 501 8 times with a remainder of 21.
Use 8 as the next digit of our solution. 
Result so far: 438.0
Deduct 480 from 501 and we're left with 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 60

Moving on to step 6:
60 can be fit into 213 3 times, resulting in a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 4383.0
If we take 180 away from 213, we end up 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.

Moving on to step 7:
When dividing 330 by 60, we get 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 4383.5
If we take 300 away from 330, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
The number 60 fits into 300 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 4383.55
If we take 300 away from 300, we end up with 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 final result is 4383.55 with a remainder of 0.0.