350333 ÷ 14 
We're looking to find how many times 14 goes into 350333.

Moving on to step 1:
If we divide 3 by 14, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 14

Step 2:
The number 14 fits into 35 2 times, leaving a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 28 from 35 leaves us with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 14

Going ahead to step 3:
70 divided by 14 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 25.0
Subtracting 70 from 70 leaves us with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 14

Let's proceed to step 4:
14 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 250.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 14

Advancing to step 5:
33 divided by 14 is 2 with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 2502.0
The remainder is 5 after subtracting 28 from 33.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 14

Advancing to step 6:
14 goes into 53 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 25023.0
If we subtract 42 from 53, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 14, we get 7 and a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 25023.7
Subtracting 98 from 110 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
120 divided by 14 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 25023.78
Subtract 112 from 120 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
80 divided by 14 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 25023.785
Subtracting 70 from 80 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 10:
If we divide 100 by 14, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 25023.7857
If we subtract 98 from 100, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 11:
14 can be fit into 20 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 25023.78571
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
14 goes into 60 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 25023.785714
Subtract 56 from 60 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
40 divided by 14 is 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 25023.7857142
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 14:
14 goes into 120 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 25023.78571428
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 25023.78571428, and the remainder is 8e-09.