343141 ÷ 35 
We want to divide 343141 by 35.

Step 1:
The number 35 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 35

Advancing to step 2:
35 goes into 34 0 times with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 35

On to step 3:
343 divided by 35 is 9 with a remainder of 28.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 315 from 343 to get 28.
Bring next digit (1) of the dividend behind the 28 and repeat the process: 281 / 35

Going ahead to step 4:
The number 35 fits into 281 8 times, leaving a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 98.0
Deduct 280 from 281 and we're left with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 35

On to step 5:
If we divide 14 by 35, we get 0 and a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 980.0
If we take 0 away from 14, we end up with 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 35

Step 6:
When dividing 141 by 35, we get 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 9804.0
Subtracting 140 from 141 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
When dividing 10 by 35, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 9804.0
Subtracting 0 from 10 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.

Let's proceed to step 8:
35 goes into 100 2 times with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 9804.02
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.

Moving on to step 9:
300 divided by 35 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 9804.028
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.

Moving on to step 10:
The number 35 fits into 200 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 9804.0285
Deduct 175 from 200 and we're left 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.

Going ahead to step 11:
35 goes into 250 7 times with a remainder of 5.
The next digit of our result is 7. 
Result so far: 9804.02857
Subtract 245 from 250 to 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.

Going ahead to step 12:
50 divided by 35 is 1 with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 9804.028571
If we subtract 35 from 50, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 13:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 9804.0285714
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.

On to step 14:
The number 35 fits into 100 2 times, leaving a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 9804.02857142
Subtracting 70 from 100 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 9804.02857142 and a remainder of 3e-08.