Let's divide 509806 by 35
Let's see how many times 35 fits into 509806.

Advancing to step 1:
If we divide 5 by 35, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 35

Moving on to step 2:
35 can be fit into 50 1 times, resulting in a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 15 after subtracting 35 from 50.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 35

Let's proceed to step 3:
35 goes into 159 4 times with a remainder of 19.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtracting 140 from 159 leaves us with 19.
Bring next digit (8) of the dividend behind the 19 and repeat the process: 198 / 35

Advancing to step 4:
198 divided by 35 is 5 with a remainder of 23.
The next digit of our result is 5. 
Result so far: 145.0
If we subtract 175 from 198, we get 23.
Fetch the next digit (0) from the dividend, attach it to 23 and continue: 230 / 35

Step 5:
35 goes into 230 6 times with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 1456.0
Subtracting 210 from 230 leaves us with 20.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 35

Going ahead to step 6:
35 goes into 206 5 times with a remainder of 31.
Record the quotient 5 as the next digit in the result. 
Result so far: 14565.0
If we subtract 175 from 206, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
35 goes into 310 8 times with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 14565.8
Subtract 280 from 310 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
The number 35 fits into 300 8 times, leaving a remainder of 20.
The next digit of our result is 8. 
Result so far: 14565.88
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 14565.88 with a balance of 0.02.