502514 divided by 7 
We want to figure out the number of times 502514 can be divided by 7.

Step 1:
When dividing 5 by 7, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 7

Moving on to step 2:
50 divided by 7 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
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

On to step 3:
7 can be fit into 12 1 times, resulting in a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
The remainder is 5 after subtracting 7 from 12.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 7

Let's proceed to step 4:
When dividing 55 by 7, we get 7 with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 717.0
The remainder is 6 after subtracting 49 from 55.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 7

Let's proceed to step 5:
When dividing 61 by 7, we get 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 7178.0
If we subtract 56 from 61, we get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 7

Moving on to step 6:
7 goes into 54 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 71787.0
Subtracting 49 from 54 leaves us 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.

Going ahead to step 7:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 71787.7
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.

On 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: 71787.71
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.

Going ahead to step 9:
When dividing 30 by 7, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 71787.714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 71787.7142
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.

Going ahead to step 11:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 71787.71428
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 71787.714285
If we subtract 35 from 40, we 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.

Step 13:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 71787.7142857
If we take 49 away from 50, we end up 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.

Advancing to step 14:
The number 7 fits into 10 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 71787.71428571
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.

The final result is 71787.71428571 with a remainder of 3e-09.