We look at the division of 65415731 by 501 
We want to figure out the number of times 65415731 can be divided by 501.

Step 1:
501 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 501

On to step 2:
65 divided by 501 is 0 with a remainder of 65.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 65, we end up with 65.
Bring next digit (4) of the dividend behind the 65 and repeat the process: 654 / 501

Moving on to step 3:
If we divide 654 by 501, we get 1 and a remainder of 153.
The next digit of our result is 1. 
Result so far: 1.0
If we take 501 away from 654, we end up with 153.
Include the next digit (1) from the dividend after 153, then repeat: 1531 / 501

Moving on to step 4:
501 can be fit into 1531 3 times, resulting in a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 1503 from 1531, we get 28.
Include the next digit (5) from the dividend after 28, then repeat: 285 / 501

Advancing to step 5:
285 divided by 501 is 0 with a remainder of 285.
The next digit of our result is 0. 
Result so far: 130.0
If we subtract 0 from 285, we get 285.
Bring next digit (7) of the dividend behind the 285 and repeat the process: 2857 / 501

On to step 6:
501 can be fit into 2857 5 times, resulting in a remainder of 352.
Use 5 as the next digit of our solution. 
Result so far: 1305.0
The remainder is 352 after subtracting 2505 from 2857.
Append the next digit (3) from the dividend to 352 and continue with: 3523 / 501

Advancing to step 7:
501 can be fit into 3523 7 times, resulting in a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 13057.0
If we take 3507 away from 3523, we end up with 16.
Include the next digit (1) from the dividend after 16, then repeat: 161 / 501

Moving on to step 8:
501 goes into 161 0 times with a remainder of 161.
The number 0 becomes the next digit in our result. 
Result so far: 130570.0
Deduct 0 from 161 and we're left with 161.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1610, and continue the process.

Moving on to step 9:
501 can be fit into 1610 3 times, resulting in a remainder of 107.
Write down 3 as next digit of the result. 
Result so far: 130570.3
Subtract 1503 from 1610 to get 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

On to step 10:
501 goes into 1070 2 times with a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 130570.32
Subtracting 1002 from 1070 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 11:
If we divide 680 by 501, we get 1 and a remainder of 179.
Put 1 as the next digit of the answer. 
Result so far: 130570.321
The remainder is 179 after subtracting 501 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1790, and continue the process.

Let's proceed to step 12:
When dividing 1790 by 501, we get 3 with a remainder of 287.
Use 3 as the next digit of our solution. 
Result so far: 130570.3213
Subtracting 1503 from 1790 leaves us with 287.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2870, and continue the process.

On to step 13:
The number 501 fits into 2870 5 times, leaving a remainder of 365.
Put 5 as the next digit of the answer. 
Result so far: 130570.32135
Subtracting 2505 from 2870 leaves us with 365.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3650, and continue the process.

Step 14:
When dividing 3650 by 501, we get 7 with a remainder of 143.
Put 7 as the next digit of the answer. 
Result so far: 130570.321357
The remainder is 143 after subtracting 3507 from 3650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

On to step 15:
501 can be fit into 1430 2 times, resulting in a remainder of 428.
The number 2 becomes the next digit in our result. 
Result so far: 130570.3213572
Deduct 1002 from 1430 and we're left with 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

On to step 16:
4280 divided by 501 is 8 with a remainder of 272.
The next digit of our result is 8. 
Result so far: 130570.32135728
Subtract 4008 from 4280 to get 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

In conclusion, the division gives 130570.32135728 with a balance of 2.72e-07.