We're dividing 509631 by 54 
We want to figure out the number of times 509631 can be divided by 54.

Step 1:
54 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 54

Advancing to step 2:
The number 54 fits into 50 0 times, leaving a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Grab the next digit (9) from the dividend, add it to 50, then carry on: 509 / 54

Advancing to step 3:
509 divided by 54 is 9 with a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 486 from 509 to get 23.
Grab the next digit (6) from the dividend, add it to 23, then carry on: 236 / 54

On to step 4:
236 divided by 54 is 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 94.0
If we take 216 away from 236, we end up with 20.
Append the next digit (3) from the dividend to 20 and continue with: 203 / 54

On to step 5:
The number 54 fits into 203 3 times, leaving a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 943.0
If we subtract 162 from 203, we get 41.
Include the next digit (1) from the dividend after 41, then repeat: 411 / 54

Going ahead to step 6:
54 goes into 411 7 times with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 9437.0
Subtract 378 from 411 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
54 goes into 330 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 9437.6
If we take 324 away from 330, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
The number 54 fits into 60 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 9437.61
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
When dividing 60 by 54, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 9437.611
If we take 54 away from 60, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 9437.611 with a balance of 0.0006.