We look at the division of 418553 by 60 
We want to divide 418553 by 60.

Moving on to step 1:
4 divided by 60 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 60

Going ahead to step 2:
60 goes into 41 0 times with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (8) from the dividend after 41, then repeat: 418 / 60

Advancing to step 3:
60 can be fit into 418 6 times, resulting in a remainder of 58.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 58 after subtracting 360 from 418.
Take the next digit (5) from the dividend and append it to 58, then repeat: 585 / 60

Let's proceed to step 4:
60 goes into 585 9 times with a remainder of 45.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
If we take 540 away from 585, we end up with 45.
Fetch the next digit (5) from the dividend, attach it to 45 and continue: 455 / 60

Step 5:
The number 60 fits into 455 7 times, leaving a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 697.0
Deduct 420 from 455 and we're left with 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 60

Moving on to step 6:
When dividing 353 by 60, we get 5 with a remainder of 53.
Put 5 as the next digit of the answer. 
Result so far: 6975.0
If we subtract 300 from 353, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 7:
When dividing 530 by 60, we get 8 with a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 6975.8
If we subtract 480 from 530, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
60 can be fit into 500 8 times, resulting in a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 6975.88
Subtracting 480 from 500 leaves us 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.

Our division results in 6975.88 with a remaining 0.02.