We look at the division of 379330 by 60 
We want to figure out the number of times 379330 can be divided by 60.

Advancing to step 1:
60 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 60

On to step 2:
If we divide 37 by 60, we get 0 and a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Bring next digit (9) of the dividend behind the 37 and repeat the process: 379 / 60

Moving on to step 3:
60 goes into 379 6 times with a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 360 from 379 leaves us with 19.
Grab the next digit (3) from the dividend, add it to 19, then carry on: 193 / 60

Advancing to step 4:
193 divided by 60 is 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
If we take 180 away from 193, we end up with 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 60

On to step 5:
133 divided by 60 is 2 with a remainder of 13.
The next digit of our result is 2. 
Result so far: 632.0
The remainder is 13 after subtracting 120 from 133.
Append the next digit (0) from the dividend to 13 and continue with: 130 / 60

Step 6:
When dividing 130 by 60, we get 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 6322.0
If we subtract 120 from 130, 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 7:
When dividing 100 by 60, we get 1 with a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 6322.1
The remainder is 40 after subtracting 60 from 100.
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 8:
400 divided by 60 is 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 6322.16
Deduct 360 from 400 and we're left 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.

Going ahead to step 9:
If we divide 400 by 60, we get 6 and a remainder of 40.
The next digit of our result is 6. 
Result so far: 6322.166
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.

The quotient of the division is 6322.166, and the remainder is 0.004.