638333 ÷ 60 
Our goal is to divide 638333 by 60.

Advancing 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
Subtract 0 from 6 to get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 60

Moving on to step 2:
If we divide 63 by 60, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 60 away from 63, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 60

Moving on to step 3:
38 divided by 60 is 0 with a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 38, we get 38.
Fetch the next digit (3) from the dividend, attach it to 38 and continue: 383 / 60

Let's proceed to step 4:
383 divided by 60 is 6 with a remainder of 23.
The next digit of our result is 6. 
Result so far: 106.0
The remainder is 23 after subtracting 360 from 383.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 60

On to step 5:
If we divide 233 by 60, we get 3 and a remainder of 53.
Record the quotient 3 as the next digit in the result. 
Result so far: 1063.0
If we take 180 away from 233, we end up with 53.
Grab the next digit (3) from the dividend, add it to 53, then carry on: 533 / 60

Let's proceed to step 6:
533 divided by 60 is 8 with a remainder of 53.
Write down 8 as next digit of the result. 
Result so far: 10638.0
The remainder is 53 after subtracting 480 from 533.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 7:
60 can be fit into 530 8 times, resulting in a remainder of 50.
Put 8 as the next digit of the answer. 
Result so far: 10638.8
The remainder is 50 after subtracting 480 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
If we divide 500 by 60, we get 8 and a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 10638.88
Deduct 480 from 500 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.

Our division results in 10638.88 with a remaining 0.02.