344795 ÷ 35 
Our goal is to divide 344795 by 35.

Let's proceed to step 1:
35 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 35

Let's proceed to step 2:
34 divided by 35 is 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Include the next digit (4) from the dividend after 34, then repeat: 344 / 35

Advancing to step 3:
35 can be fit into 344 9 times, resulting in a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 315 away from 344, we end up with 29.
Fetch the next digit (7) from the dividend, attach it to 29 and continue: 297 / 35

Step 4:
35 goes into 297 8 times with a remainder of 17.
Write down 8 as next digit of the result. 
Result so far: 98.0
Deduct 280 from 297 and we're left with 17.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 35

Going ahead to step 5:
35 can be fit into 179 5 times, resulting in a remainder of 4.
The next digit of our result is 5. 
Result so far: 985.0
If we take 175 away from 179, we end up with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 35

On to step 6:
When dividing 45 by 35, we get 1 with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 9851.0
The remainder is 10 after subtracting 35 from 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
The number 35 fits into 100 2 times, leaving a remainder of 30.
The next digit of our result is 2. 
Result so far: 9851.2
Subtract 70 from 100 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.

Moving on to step 8:
35 goes into 300 8 times with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 9851.28
If we take 280 away from 300, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 9851.285
If we subtract 175 from 200, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
250 divided by 35 is 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 9851.2857
If we subtract 245 from 250, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 9851.28571
If we take 35 away from 50, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
150 divided by 35 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 9851.285714
Subtracting 140 from 150 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 9851.2857142
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 14:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 9851.28571428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 9851.28571428 and a remainder of 2e-08.