6718921 divided by 506 
We want to figure out the number of times 6718921 can be divided by 506.

Step 1:
If we divide 6 by 506, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 506

On to step 2:
506 goes into 67 0 times with a remainder of 67.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 67, we end up with 67.
Take the next digit (1) from the dividend and append it to 67, then repeat: 671 / 506

On to step 3:
506 can be fit into 671 1 times, resulting in a remainder of 165.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 506 from 671 to get 165.
Include the next digit (8) from the dividend after 165, then repeat: 1658 / 506

Advancing to step 4:
When dividing 1658 by 506, we get 3 with a remainder of 140.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 1518 from 1658 leaves us with 140.
Include the next digit (9) from the dividend after 140, then repeat: 1409 / 506

On to step 5:
506 can be fit into 1409 2 times, resulting in a remainder of 397.
Put 2 as the next digit of the answer. 
Result so far: 132.0
Deduct 1012 from 1409 and we're left with 397.
Grab the next digit (2) from the dividend, add it to 397, then carry on: 3972 / 506

Advancing to step 6:
506 can be fit into 3972 7 times, resulting in a remainder of 430.
The next digit of our result is 7. 
Result so far: 1327.0
The remainder is 430 after subtracting 3542 from 3972.
Include the next digit (1) from the dividend after 430, then repeat: 4301 / 506

Moving on to step 7:
If we divide 4301 by 506, we get 8 and a remainder of 253.
Use 8 as the next digit of our solution. 
Result so far: 13278.0
The remainder is 253 after subtracting 4048 from 4301.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Advancing to step 8:
506 can be fit into 2530 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 13278.5
Subtracting 2530 from 2530 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
The number 506 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 13278.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
506 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 13278.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 13278.5 with a remaining 0.0.