We're dividing 7966828 by 501 
We want to figure out the number of times 7966828 can be divided by 501.

Moving on to step 1:
When dividing 7 by 501, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 501

Advancing to step 2:
501 goes into 79 0 times with a remainder of 79.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 79 and we're left with 79.
Fetch the next digit (6) from the dividend, attach it to 79 and continue: 796 / 501

On to step 3:
If we divide 796 by 501, we get 1 and a remainder of 295.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 295 after subtracting 501 from 796.
Include the next digit (6) from the dividend after 295, then repeat: 2956 / 501

Going ahead to step 4:
The number 501 fits into 2956 5 times, leaving a remainder of 451.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 2505 from 2956 to get 451.
Grab the next digit (8) from the dividend, add it to 451, then carry on: 4518 / 501

Moving on to step 5:
4518 divided by 501 is 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 159.0
Subtract 4509 from 4518 to get 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 501

Step 6:
The number 501 fits into 92 0 times, leaving a remainder of 92.
Put 0 as the next digit of the answer. 
Result so far: 1590.0
If we take 0 away from 92, we end up with 92.
Fetch the next digit (8) from the dividend, attach it to 92 and continue: 928 / 501

On to step 7:
The number 501 fits into 928 1 times, leaving a remainder of 427.
Record the quotient 1 as the next digit in the result. 
Result so far: 15901.0
Deduct 501 from 928 and we're left with 427.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4270, and continue the process.

Advancing to step 8:
When dividing 4270 by 501, we get 8 with a remainder of 262.
The number 8 becomes the next digit in our result. 
Result so far: 15901.8
If we take 4008 away from 4270, we end up with 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

On to step 9:
2620 divided by 501 is 5 with a remainder of 115.
The next digit of our result is 5. 
Result so far: 15901.85
The remainder is 115 after subtracting 2505 from 2620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Moving on to step 10:
501 goes into 1150 2 times with a remainder of 148.
Use 2 as the next digit of our solution. 
Result so far: 15901.852
Subtracting 1002 from 1150 leaves us with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Going ahead to step 11:
When dividing 1480 by 501, we get 2 with a remainder of 478.
The number 2 becomes the next digit in our result. 
Result so far: 15901.8522
If we subtract 1002 from 1480, we get 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

The final outcome is 15901.8522, with a leftover of 0.00478.