963003 ÷ 14 
We want to figure out the number of times 963003 can be divided by 14.

Going ahead to step 1:
14 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 14

Let's proceed to step 2:
The number 14 fits into 96 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 84 from 96 to get 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 14

Going ahead to step 3:
If we divide 123 by 14, we get 8 and a remainder of 11.
The next digit of our result is 8. 
Result so far: 68.0
The remainder is 11 after subtracting 112 from 123.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 14

Going ahead to step 4:
When dividing 110 by 14, we get 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 687.0
Subtracting 98 from 110 leaves us with 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 14

Step 5:
120 divided by 14 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 6878.0
Subtracting 112 from 120 leaves us with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 14

Advancing to step 6:
83 divided by 14 is 5 with a remainder of 13.
Use 5 as the next digit of our solution. 
Result so far: 68785.0
Subtract 70 from 83 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
14 can be fit into 130 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 68785.9
If we subtract 126 from 130, we 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.

Moving on to step 8:
40 divided by 14 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 68785.92
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.

Let's proceed to step 9:
14 goes into 120 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 68785.928
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
14 can be fit into 80 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 68785.9285
If we subtract 70 from 80, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
100 divided by 14 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 68785.92857
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 68785.928571
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 68785.9285714
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 14:
When dividing 40 by 14, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 68785.92857142
If we take 28 away from 40, we end up 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.

The quotient of the division is 68785.92857142, and the remainder is 1.2e-08.