We're dividing 380665 by 60 
Our goal is to divide 380665 by 60.

Let's proceed to step 1:
When dividing 3 by 60, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 60

Moving on to step 2:
If we divide 38 by 60, we get 0 and a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Fetch the next digit (0) from the dividend, attach it to 38 and continue: 380 / 60

On to step 3:
When dividing 380 by 60, we get 6 with a remainder of 20.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 360 from 380, we get 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 60

Step 4:
The number 60 fits into 206 3 times, leaving a remainder of 26.
The next digit of our result is 3. 
Result so far: 63.0
Deduct 180 from 206 and we're left with 26.
Take the next digit (6) from the dividend and append it to 26, then repeat: 266 / 60

Going ahead to step 5:
60 goes into 266 4 times with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 634.0
The remainder is 26 after subtracting 240 from 266.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 60

Let's proceed to step 6:
265 divided by 60 is 4 with a remainder of 25.
Record the quotient 4 as the next digit in the result. 
Result so far: 6344.0
If we take 240 away from 265, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
60 goes into 250 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 6344.4
If we subtract 240 from 250, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
60 goes into 100 1 times with a remainder of 40.
Write down 1 as next digit of the result. 
Result so far: 6344.41
If we subtract 60 from 100, 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.

Step 9:
60 goes into 400 6 times with a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 6344.416
Subtracting 360 from 400 leaves us 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.

Let's proceed to step 10:
When dividing 400 by 60, we get 6 with a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 6344.4166
Subtracting 360 from 400 leaves us 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.

The final result is 6344.4166 with a remainder of 0.0004.