360960 divided by 60 
We're looking to find how many times 60 goes into 360960.

Going ahead to step 1:
3 divided by 60 is 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.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 60

Moving on to step 2:
When dividing 36 by 60, we get 0 with a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 36, we get 36.
Bring next digit (0) of the dividend behind the 36 and repeat the process: 360 / 60

Moving on to step 3:
60 can be fit into 360 6 times, resulting in a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 360 from 360 leaves us with 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 60

Step 4:
If we divide 9 by 60, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 60.0
Subtract 0 from 9 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 60

Moving on to step 5:
If we divide 96 by 60, we get 1 and a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 601.0
The remainder is 36 after subtracting 60 from 96.
Grab the next digit (0) from the dividend, add it to 36, then carry on: 360 / 60

Let's proceed to step 6:
60 can be fit into 360 6 times, resulting in a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 6016.0
Subtract 360 from 360 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
If we divide 0 by 60, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6016.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
When dividing 0 by 60, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6016.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 6016.0, and the remainder is 0.0.