We're dividing 605979 by 54 
Our goal is to divide 605979 by 54.

Advancing to step 1:
6 divided by 54 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 54

On to step 2:
54 can be fit into 60 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 6 after subtracting 54 from 60.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 54

On to step 3:
54 can be fit into 65 1 times, resulting in a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 54 from 65 to get 11.
Bring next digit (9) of the dividend behind the 11 and repeat the process: 119 / 54

Let's proceed to step 4:
The number 54 fits into 119 2 times, leaving a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 112.0
Subtract 108 from 119 to get 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 54

Advancing to step 5:
When dividing 117 by 54, we get 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 1122.0
The remainder is 9 after subtracting 108 from 117.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 54

Going ahead to step 6:
54 goes into 99 1 times with a remainder of 45.
Put 1 as the next digit of the answer. 
Result so far: 11221.0
Deduct 54 from 99 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 7:
450 divided by 54 is 8 with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 11221.8
The remainder is 18 after subtracting 432 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
54 can be fit into 180 3 times, resulting in a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 11221.83
Subtract 162 from 180 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
The number 54 fits into 180 3 times, leaving a remainder of 18.
The next digit of our result is 3. 
Result so far: 11221.833
Subtracting 162 from 180 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 11221.833, with a leftover of 0.0018.