We look at the division of 497335 by 51 
We're looking to find how many times 51 goes into 497335.

Step 1:
If we divide 4 by 51, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 51

Let's proceed to step 2:
51 goes into 49 0 times with a remainder of 49.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 49 and we're left with 49.
Grab the next digit (7) from the dividend, add it to 49, then carry on: 497 / 51

On to step 3:
If we divide 497 by 51, we get 9 and a remainder of 38.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 459 away from 497, we end up with 38.
Fetch the next digit (3) from the dividend, attach it to 38 and continue: 383 / 51

Let's proceed to step 4:
When dividing 383 by 51, we get 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 97.0
Subtracting 357 from 383 leaves us with 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 51

Step 5:
263 divided by 51 is 5 with a remainder of 8.
The next digit of our result is 5. 
Result so far: 975.0
Subtracting 255 from 263 leaves us with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 51

On to step 6:
When dividing 85 by 51, we get 1 with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 9751.0
Subtracting 51 from 85 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
When dividing 340 by 51, we get 6 with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 9751.6
If we take 306 away from 340, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
340 divided by 51 is 6 with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 9751.66
The remainder is 34 after subtracting 306 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 9751.66 with a balance of 0.034.