We look at the division of 413307 by 35 
We want to figure out the number of times 413307 can be divided by 35.

On to step 1:
The number 35 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 35

Let's proceed to step 2:
35 goes into 41 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 35 from 41 and we're left with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 35

On to step 3:
When dividing 63 by 35, we get 1 with a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 35 away from 63, we end up with 28.
Append the next digit (3) from the dividend to 28 and continue with: 283 / 35

Advancing to step 4:
283 divided by 35 is 8 with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 118.0
The remainder is 3 after subtracting 280 from 283.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 35

Advancing to step 5:
When dividing 30 by 35, we get 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1180.0
If we take 0 away from 30, we end up with 30.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 35

Let's proceed to step 6:
35 goes into 307 8 times with a remainder of 27.
Write down 8 as next digit of the result. 
Result so far: 11808.0
If we take 280 away from 307, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
If we divide 270 by 35, we get 7 and a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 11808.7
Subtracting 245 from 270 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
If we divide 250 by 35, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 11808.77
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 11808.77, with a leftover of 0.005.