We look at the division of 578666 by 54 
We're looking to find how many times 54 goes into 578666.

Going ahead to step 1:
The number 54 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 54

Advancing to step 2:
When dividing 57 by 54, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 3 after subtracting 54 from 57.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 54

Let's proceed to step 3:
If we divide 38 by 54, we get 0 and a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 38 leaves us with 38.
Include the next digit (6) from the dividend after 38, then repeat: 386 / 54

Step 4:
If we divide 386 by 54, we get 7 and a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 107.0
Subtracting 378 from 386 leaves us with 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 54

Step 5:
The number 54 fits into 86 1 times, leaving a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 1071.0
Deduct 54 from 86 and we're left with 32.
Include the next digit (6) from the dividend after 32, then repeat: 326 / 54

On to step 6:
The number 54 fits into 326 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 10716.0
If we subtract 324 from 326, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
54 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 10716.0
Subtracting 0 from 20 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.

Going ahead to step 8:
When dividing 200 by 54, we get 3 with a remainder of 38.
Use 3 as the next digit of our solution. 
Result so far: 10716.03
Subtracting 162 from 200 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 9:
54 can be fit into 380 7 times, resulting in a remainder of 2.
The next digit of our result is 7. 
Result so far: 10716.037
Subtract 378 from 380 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
The number 54 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10716.037
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
54 goes into 200 3 times with a remainder of 38.
The next digit of our result is 3. 
Result so far: 10716.03703
If we subtract 162 from 200, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
54 goes into 380 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 10716.037037
Subtract 378 from 380 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
When dividing 20 by 54, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10716.037037
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
54 goes into 200 3 times with a remainder of 38.
The next digit of our result is 3. 
Result so far: 10716.03703703
The remainder is 38 after subtracting 162 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 10716.03703703 with a remainder of 3.8e-08.