We're dividing 338406 by 35 
We want to divide 338406 by 35.

Step 1:
3 divided by 35 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 35

Step 2:
When dividing 33 by 35, we get 0 with a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 35

Step 3:
The number 35 fits into 338 9 times, leaving a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtracting 315 from 338 leaves us with 23.
Bring next digit (4) of the dividend behind the 23 and repeat the process: 234 / 35

Moving on to step 4:
The number 35 fits into 234 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 96.0
Subtract 210 from 234 to get 24.
Append the next digit (0) from the dividend to 24 and continue with: 240 / 35

Moving on to step 5:
If we divide 240 by 35, we get 6 and a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 966.0
Subtracting 210 from 240 leaves us with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 35

On to step 6:
If we divide 306 by 35, we get 8 and a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 9668.0
Subtract 280 from 306 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
35 can be fit into 260 7 times, resulting in a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 9668.7
Deduct 245 from 260 and we're left 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.

Advancing to step 8:
The number 35 fits into 150 4 times, leaving a remainder of 10.
The next digit of our result is 4. 
Result so far: 9668.74
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.

Step 9:
If we divide 100 by 35, we get 2 and a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 9668.742
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.

On to step 10:
If we divide 300 by 35, we get 8 and a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 9668.7428
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.

Going ahead to step 11:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 9668.74285
Subtracting 175 from 200 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.

Let's proceed to step 12:
35 goes into 250 7 times with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 9668.742857
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 13:
35 can be fit into 50 1 times, resulting in a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 9668.7428571
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 14:
When dividing 150 by 35, we get 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 9668.74285714
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 9668.74285714 with a remainder of 1e-08.