We're dividing 7806760 by 501 
We're looking to find how many times 501 goes into 7806760.

Step 1:
If we divide 7 by 501, we get 0 and 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 (8) of the dividend behind the 7 and repeat the process: 78 / 501

Going ahead to step 2:
78 divided by 501 is 0 with a remainder of 78.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 78 to get 78.
Include the next digit (0) from the dividend after 78, then repeat: 780 / 501

Going ahead to step 3:
780 divided by 501 is 1 with a remainder of 279.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 501 from 780 to get 279.
Take the next digit (6) from the dividend and append it to 279, then repeat: 2796 / 501

Going ahead to step 4:
2796 divided by 501 is 5 with a remainder of 291.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 2505 from 2796 and we're left with 291.
Include the next digit (7) from the dividend after 291, then repeat: 2917 / 501

Advancing to step 5:
When dividing 2917 by 501, we get 5 with a remainder of 412.
Put 5 as the next digit of the answer. 
Result so far: 155.0
Deduct 2505 from 2917 and we're left with 412.
Append the next digit (6) from the dividend to 412 and continue with: 4126 / 501

Going ahead to step 6:
501 can be fit into 4126 8 times, resulting in a remainder of 118.
Use 8 as the next digit of our solution. 
Result so far: 1558.0
If we subtract 4008 from 4126, we get 118.
Append the next digit (0) from the dividend to 118 and continue with: 1180 / 501

Step 7:
501 goes into 1180 2 times with a remainder of 178.
Put 2 as the next digit of the answer. 
Result so far: 15582.0
Subtract 1002 from 1180 to get 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Moving on to step 8:
501 goes into 1780 3 times with a remainder of 277.
Use 3 as the next digit of our solution. 
Result so far: 15582.3
If we subtract 1503 from 1780, we get 277.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2770, and continue the process.

Step 9:
The number 501 fits into 2770 5 times, leaving a remainder of 265.
Record the quotient 5 as the next digit in the result. 
Result so far: 15582.35
The remainder is 265 after subtracting 2505 from 2770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

Step 10:
501 goes into 2650 5 times with a remainder of 145.
Put 5 as the next digit of the answer. 
Result so far: 15582.355
Deduct 2505 from 2650 and we're left with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Our division results in 15582.355 with a remaining 0.0145.