We look at the division of 30355 by 60 
Our goal is to divide 30355 by 60.

Going ahead to step 1:
60 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 60

Going ahead to step 2:
60 can be fit into 30 0 times, resulting in a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Grab the next digit (3) from the dividend, add it to 30, then carry on: 303 / 60

Advancing to step 3:
If we divide 303 by 60, we get 5 and a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 300 from 303 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 60

Advancing to step 4:
The number 60 fits into 35 0 times, leaving a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 50.0
Deduct 0 from 35 and we're left with 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 60

On to step 5:
When dividing 355 by 60, we get 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 505.0
The remainder is 55 after subtracting 300 from 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 6:
The number 60 fits into 550 9 times, leaving a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 505.9
The remainder is 10 after subtracting 540 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
When dividing 100 by 60, we get 1 with a remainder of 40.
The next digit of our result is 1. 
Result so far: 505.91
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.

Advancing 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: 505.916
Subtract 360 from 400 to 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.

Let's proceed to step 9:
If we divide 400 by 60, we get 6 and a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 505.9166
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.

The quotient of the division is 505.9166, and the remainder is 0.0004.