We're dividing 35580 by 54 
We want to figure out the number of times 35580 can be divided by 54.

Step 1:
If we divide 3 by 54, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 54

Let's proceed to step 2:
The number 54 fits into 35 0 times, leaving a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Take the next digit (5) from the dividend and append it to 35, then repeat: 355 / 54

Advancing to step 3:
355 divided by 54 is 6 with a remainder of 31.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 324 from 355 to get 31.
Grab the next digit (8) from the dividend, add it to 31, then carry on: 318 / 54

Advancing to step 4:
If we divide 318 by 54, we get 5 and a remainder of 48.
Write down 5 as next digit of the result. 
Result so far: 65.0
If we take 270 away from 318, we end up with 48.
Bring next digit (0) of the dividend behind the 48 and repeat the process: 480 / 54

On to step 5:
54 goes into 480 8 times with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 658.0
The remainder is 48 after subtracting 432 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 6:
480 divided by 54 is 8 with a remainder of 48.
The next digit of our result is 8. 
Result so far: 658.8
Deduct 432 from 480 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 7:
When dividing 480 by 54, we get 8 with a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 658.88
Deduct 432 from 480 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The quotient of the division is 658.88, and the remainder is 0.048.