We look at the division of 413264 by 60 
We're looking to find how many times 60 goes into 413264.

Going ahead to step 1:
When dividing 4 by 60, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 60

Advancing to step 2:
If we divide 41 by 60, we get 0 and a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 60

Step 3:
60 goes into 413 6 times with a remainder of 53.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 360 from 413 to get 53.
Fetch the next digit (2) from the dividend, attach it to 53 and continue: 532 / 60

Advancing to step 4:
The number 60 fits into 532 8 times, leaving a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we subtract 480 from 532, we get 52.
Take the next digit (6) from the dividend and append it to 52, then repeat: 526 / 60

Moving on to step 5:
60 can be fit into 526 8 times, resulting in a remainder of 46.
The number 8 becomes the next digit in our result. 
Result so far: 688.0
Subtracting 480 from 526 leaves us with 46.
Take the next digit (4) from the dividend and append it to 46, then repeat: 464 / 60

On to step 6:
The number 60 fits into 464 7 times, leaving a remainder of 44.
The number 7 becomes the next digit in our result. 
Result so far: 6887.0
The remainder is 44 after subtracting 420 from 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 7:
The number 60 fits into 440 7 times, leaving a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 6887.7
If we subtract 420 from 440, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
The number 60 fits into 200 3 times, leaving a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 6887.73
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
200 divided by 60 is 3 with a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 6887.733
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 6887.733, and the remainder is 0.002.