We look at the division of 344435 by 35 
We want to divide 344435 by 35.

Step 1:
When dividing 3 by 35, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 35

Going ahead to step 2:
The number 35 fits into 34 0 times, leaving a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Fetch the next digit (4) from the dividend, attach it to 34 and continue: 344 / 35

Moving on to step 3:
344 divided by 35 is 9 with a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 315 from 344, we get 29.
Take the next digit (4) from the dividend and append it to 29, then repeat: 294 / 35

Moving on to step 4:
294 divided by 35 is 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 98.0
Subtracting 280 from 294 leaves us with 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 35

Moving on to step 5:
The number 35 fits into 143 4 times, leaving a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 984.0
If we take 140 away from 143, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 35

Step 6:
When dividing 35 by 35, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 9841.0
Subtracting 35 from 35 leaves us with 0.
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 7:
When dividing 0 by 35, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 9841.0
If we subtract 0 from 0, we 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.

Let's proceed to step 8:
0 divided by 35 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 9841.0
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.

After the division, we end up with 9841.0 and a remainder of 0.0.