502319 ÷ 7 
We want to divide 502319 by 7.

Step 1:
When dividing 5 by 7, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 7

Let's proceed to step 2:
50 divided by 7 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 49 from 50 leaves us with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 7

Going ahead to step 3:
12 divided by 7 is 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
Deduct 7 from 12 and we're left with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 7

Moving on to step 4:
The number 7 fits into 53 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 717.0
Deduct 49 from 53 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 7

Step 5:
41 divided by 7 is 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 7175.0
The remainder is 6 after subtracting 35 from 41.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 7

On to step 6:
7 goes into 69 9 times with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 71759.0
Subtract 63 from 69 to 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.

Advancing to step 7:
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: 71759.8
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 8:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 71759.85
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.

Step 9:
When dividing 50 by 7, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 71759.857
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.

On to step 10:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 71759.8571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 71759.85714
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.
Use 2 as the next digit of our solution. 
Result so far: 71759.857142
Subtracting 14 from 20 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.

Advancing to step 13:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 71759.8571428
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.

Going ahead to step 14:
When dividing 40 by 7, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 71759.85714285
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.

Our division results in 71759.85714285 with a remaining 5e-09.