We look at the division of 314066 by 35 
We want to divide 314066 by 35.

Going ahead to 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
If we subtract 0 from 3, we get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 35

On to step 2:
31 divided by 35 is 0 with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Bring next digit (4) of the dividend behind the 31 and repeat the process: 314 / 35

Advancing to step 3:
314 divided by 35 is 8 with a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 280 from 314 and we're left with 34.
Take the next digit (0) from the dividend and append it to 34, then repeat: 340 / 35

On to step 4:
If we divide 340 by 35, we get 9 and a remainder of 25.
Use 9 as the next digit of our solution. 
Result so far: 89.0
If we take 315 away from 340, we end up with 25.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 35

Let's proceed to step 5:
35 can be fit into 256 7 times, resulting in a remainder of 11.
The next digit of our result is 7. 
Result so far: 897.0
Deduct 245 from 256 and we're left with 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 35

Going ahead to step 6:
35 can be fit into 116 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 8973.0
If we take 105 away from 116, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
35 can be fit into 110 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 8973.3
If we subtract 105 from 110, 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.

On to step 8:
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: 8973.31
Deduct 35 from 50 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.

Moving on to step 9:
If we divide 150 by 35, we get 4 and a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 8973.314
Deduct 140 from 150 and we're left 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 10:
100 divided by 35 is 2 with a remainder of 30.
The next digit of our result is 2. 
Result so far: 8973.3142
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.

Let's proceed to step 11:
300 divided by 35 is 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 8973.31428
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.

On to step 12:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 8973.314285
The remainder is 25 after subtracting 175 from 200.
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 13:
35 goes into 250 7 times with a remainder of 5.
The next digit of our result is 7. 
Result so far: 8973.3142857
If we take 245 away from 250, we end up 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.

On to step 14:
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: 8973.31428571
Deduct 35 from 50 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.

The final result is 8973.31428571 with a remainder of 1.5e-08.