We look at the division of 585321 by 54 
Let's see how many times 54 fits into 585321.

Step 1:
54 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 54

Advancing to step 2:
54 goes into 58 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 54 from 58 and we're left with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 54

Step 3:
If we divide 45 by 54, we get 0 and a remainder of 45.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 45 to get 45.
Grab the next digit (3) from the dividend, add it to 45, then carry on: 453 / 54

On to step 4:
If we divide 453 by 54, we get 8 and a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 108.0
The remainder is 21 after subtracting 432 from 453.
Grab the next digit (2) from the dividend, add it to 21, then carry on: 212 / 54

Going ahead to step 5:
54 goes into 212 3 times with a remainder of 50.
Write down 3 as next digit of the result. 
Result so far: 1083.0
If we take 162 away from 212, we end up with 50.
Bring next digit (1) of the dividend behind the 50 and repeat the process: 501 / 54

Going ahead to step 6:
When dividing 501 by 54, we get 9 with a remainder of 15.
The next digit of our result is 9. 
Result so far: 10839.0
If we subtract 486 from 501, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
The number 54 fits into 150 2 times, leaving a remainder of 42.
Put 2 as the next digit of the answer. 
Result so far: 10839.2
Subtracting 108 from 150 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
54 goes into 420 7 times with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 10839.27
Subtract 378 from 420 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 9:
The number 54 fits into 420 7 times, leaving a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 10839.277
Subtract 378 from 420 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 10839.277, and the remainder is 0.0042.