We're dividing 638293 by 60 
We want to figure out the number of times 638293 can be divided by 60.

On to step 1:
When dividing 6 by 60, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 60

Going ahead to step 2:
The number 60 fits into 63 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 3 after subtracting 60 from 63.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 60

On to step 3:
38 divided by 60 is 0 with a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 38 leaves us with 38.
Include the next digit (2) from the dividend after 38, then repeat: 382 / 60

On to step 4:
60 goes into 382 6 times with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Subtract 360 from 382 to get 22.
Append the next digit (9) from the dividend to 22 and continue with: 229 / 60

Let's proceed to step 5:
If we divide 229 by 60, we get 3 and a remainder of 49.
Record the quotient 3 as the next digit in the result. 
Result so far: 1063.0
If we subtract 180 from 229, we get 49.
Grab the next digit (3) from the dividend, add it to 49, then carry on: 493 / 60

Step 6:
The number 60 fits into 493 8 times, leaving a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 10638.0
Deduct 480 from 493 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
If we divide 130 by 60, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 10638.2
If we take 120 away from 130, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 60, we get 1 with a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 10638.21
If we take 60 away from 100, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
400 divided by 60 is 6 with a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 10638.216
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
If we divide 400 by 60, we get 6 and a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 10638.2166
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 10638.2166 and a remainder of 0.0004.