We look at the division of 376585 by 60 
We want to divide 376585 by 60.

Let's proceed to step 1:
The number 60 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 60

Moving on to step 2:
If we divide 37 by 60, we get 0 and a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Take the next digit (6) from the dividend and append it to 37, then repeat: 376 / 60

Advancing to step 3:
60 goes into 376 6 times with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 360 away from 376, we end up with 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 60

On to step 4:
If we divide 165 by 60, we get 2 and a remainder of 45.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Subtract 120 from 165 to get 45.
Grab the next digit (8) from the dividend, add it to 45, then carry on: 458 / 60

Let's proceed to step 5:
458 divided by 60 is 7 with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 627.0
Deduct 420 from 458 and we're left with 38.
Take the next digit (5) from the dividend and append it to 38, then repeat: 385 / 60

Moving on to step 6:
60 goes into 385 6 times with a remainder of 25.
The number 6 becomes the next digit in our result. 
Result so far: 6276.0
Subtract 360 from 385 to get 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:
250 divided by 60 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 6276.4
Subtract 240 from 250 to 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.
Record the quotient 1 as the next digit in the result. 
Result so far: 6276.41
Subtracting 60 from 100 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.

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: 6276.416
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.

On to step 10:
The number 60 fits into 400 6 times, leaving a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 6276.4166
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.

Our division results in 6276.4166 with a remaining 0.0004.