509706 ÷ 90 
We're looking to find how many times 90 goes into 509706.

Let's proceed to step 1:
90 goes into 5 0 times with 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.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 90

Step 2:
90 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Take the next digit (9) from the dividend and append it to 50, then repeat: 509 / 90

Step 3:
90 can be fit into 509 5 times, resulting in a remainder of 59.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 450 from 509, we get 59.
Bring next digit (7) of the dividend behind the 59 and repeat the process: 597 / 90

Going ahead to step 4:
If we divide 597 by 90, we get 6 and a remainder of 57.
The number 6 becomes the next digit in our result. 
Result so far: 56.0
Deduct 540 from 597 and we're left with 57.
Take the next digit (0) from the dividend and append it to 57, then repeat: 570 / 90

Moving on to step 5:
90 goes into 570 6 times with a remainder of 30.
The next digit of our result is 6. 
Result so far: 566.0
Subtracting 540 from 570 leaves us with 30.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 90

Step 6:
The number 90 fits into 306 3 times, leaving a remainder of 36.
Record the quotient 3 as the next digit in the result. 
Result so far: 5663.0
The remainder is 36 after subtracting 270 from 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 7:
When dividing 360 by 90, we get 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 5663.4
The remainder is 0 after subtracting 360 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
When dividing 0 by 90, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5663.4
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
90 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5663.4
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 5663.4 with a balance of 0.0.