We look at the division of 333303 by 7 
We want to figure out the number of times 333303 can be divided by 7.

Let's proceed to step 1:
When dividing 3 by 7, we get 0 with 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.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 7

Advancing to step 2:
7 can be fit into 33 4 times, resulting in a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 28 from 33, we get 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 7

Moving on to step 3:
7 can be fit into 53 7 times, resulting in a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 47.0
If we subtract 49 from 53, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 7

Let's proceed to step 4:
When dividing 43 by 7, we get 6 with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 476.0
Subtracting 42 from 43 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 7

On to step 5:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 4761.0
Deduct 7 from 10 and we're left with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 7

Step 6:
33 divided by 7 is 4 with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 47614.0
Deduct 28 from 33 and we're left 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.

Moving on to step 7:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 47614.7
Deduct 49 from 50 and we're left 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.

Going ahead to step 8:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 47614.71
Subtracting 7 from 10 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 9:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 47614.714
Subtracting 28 from 30 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
When dividing 20 by 7, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 47614.7142
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 11:
If we divide 60 by 7, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 47614.71428
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.

On to step 12:
7 goes into 40 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 47614.714285
Deduct 35 from 40 and we're left 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 13:
7 goes into 50 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 47614.7142857
Subtracting 49 from 50 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.

On to step 14:
7 goes into 10 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 47614.71428571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 47614.71428571 with a balance of 3e-09.