379774 ÷ 60 
Let's see how many times 60 fits into 379774.

Step 1:
When dividing 3 by 60, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 60

Moving on to step 2:
The number 60 fits into 37 0 times, leaving a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Fetch the next digit (9) from the dividend, attach it to 37 and continue: 379 / 60

Moving on to step 3:
If we divide 379 by 60, we get 6 and a remainder of 19.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 360 from 379 leaves us with 19.
Fetch the next digit (7) from the dividend, attach it to 19 and continue: 197 / 60

Going ahead to step 4:
197 divided by 60 is 3 with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 63.0
If we subtract 180 from 197, we get 17.
Include the next digit (7) from the dividend after 17, then repeat: 177 / 60

Going ahead to step 5:
177 divided by 60 is 2 with a remainder of 57.
Write down 2 as next digit of the result. 
Result so far: 632.0
Subtracting 120 from 177 leaves us with 57.
Append the next digit (4) from the dividend to 57 and continue with: 574 / 60

On to step 6:
When dividing 574 by 60, we get 9 with a remainder of 34.
The next digit of our result is 9. 
Result so far: 6329.0
If we take 540 away from 574, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
60 can be fit into 340 5 times, resulting in a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 6329.5
Subtracting 300 from 340 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.

Moving on to step 8:
The number 60 fits into 400 6 times, leaving a remainder of 40.
The next digit of our result is 6. 
Result so far: 6329.56
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.

On to step 9:
The number 60 fits into 400 6 times, leaving a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 6329.566
If we take 360 away from 400, 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.

In conclusion, the division gives 6329.566 with a balance of 0.004.