We look at the division of 319003 by 7 
Our goal is to divide 319003 by 7.

On to step 1:
The number 7 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
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 / 7

Going ahead to step 2:
7 can be fit into 31 4 times, resulting in a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 28 away from 31, we end up with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 7

Advancing to step 3:
When dividing 39 by 7, we get 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 45.0
The remainder is 4 after subtracting 35 from 39.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 7

Going ahead to step 4:
If we divide 40 by 7, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 455.0
Subtract 35 from 40 to get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 7

Step 5:
7 goes into 50 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 4557.0
Deduct 49 from 50 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 7

Going ahead to step 6:
The number 7 fits into 13 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 45571.0
Subtracting 7 from 13 leaves us 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.

Let's proceed to step 7:
7 goes into 60 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 45571.8
If we subtract 56 from 60, 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.

Let's proceed to step 8:
7 goes into 40 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 45571.85
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
When dividing 50 by 7, we get 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 45571.857
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
If we divide 10 by 7, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 45571.8571
If we subtract 7 from 10, we 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.

Step 11:
7 goes into 30 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 45571.85714
If we subtract 28 from 30, 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.

Going ahead to step 12:
The number 7 fits into 20 2 times, leaving a remainder of 6.
The next digit of our result is 2. 
Result so far: 45571.857142
If we take 14 away from 20, we end up 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.

Step 13:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 45571.8571428
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:
40 divided by 7 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 45571.85714285
Subtract 35 from 40 to 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.

After the division, we end up with 45571.85714285 and a remainder of 5e-09.