Let's divide 82259939 by 501
We're looking to find how many times 501 goes into 82259939.

Step 1:
When dividing 8 by 501, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 501

Going ahead to step 2:
82 divided by 501 is 0 with a remainder of 82.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 82 and we're left with 82.
Append the next digit (2) from the dividend to 82 and continue with: 822 / 501

Moving on to step 3:
501 goes into 822 1 times with a remainder of 321.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 501 from 822, we get 321.
Grab the next digit (5) from the dividend, add it to 321, then carry on: 3215 / 501

Going ahead to step 4:
The number 501 fits into 3215 6 times, leaving a remainder of 209.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Deduct 3006 from 3215 and we're left with 209.
Append the next digit (9) from the dividend to 209 and continue with: 2099 / 501

Advancing to step 5:
When dividing 2099 by 501, we get 4 with a remainder of 95.
Put 4 as the next digit of the answer. 
Result so far: 164.0
The remainder is 95 after subtracting 2004 from 2099.
Append the next digit (9) from the dividend to 95 and continue with: 959 / 501

On to step 6:
The number 501 fits into 959 1 times, leaving a remainder of 458.
Put 1 as the next digit of the answer. 
Result so far: 1641.0
Deduct 501 from 959 and we're left with 458.
Append the next digit (3) from the dividend to 458 and continue with: 4583 / 501

Let's proceed to step 7:
501 can be fit into 4583 9 times, resulting in a remainder of 74.
Record the quotient 9 as the next digit in the result. 
Result so far: 16419.0
Subtracting 4509 from 4583 leaves us with 74.
Append the next digit (9) from the dividend to 74 and continue with: 749 / 501

Step 8:
If we divide 749 by 501, we get 1 and a remainder of 248.
The next digit of our result is 1. 
Result so far: 164191.0
If we take 501 away from 749, we end up with 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

Advancing to step 9:
2480 divided by 501 is 4 with a remainder of 476.
Write down 4 as next digit of the result. 
Result so far: 164191.4
If we subtract 2004 from 2480, we get 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

On to step 10:
4760 divided by 501 is 9 with a remainder of 251.
The number 9 becomes the next digit in our result. 
Result so far: 164191.49
Deduct 4509 from 4760 and we're left with 251.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

Moving on to step 11:
501 can be fit into 2510 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 164191.495
If we take 2505 away from 2510, we end up 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.

On to step 12:
501 can be fit into 50 0 times, resulting in a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 164191.495
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 13:
When dividing 500 by 501, we get 0 with a remainder of 500.
Record the quotient 0 as the next digit in the result. 
Result so far: 164191.495
The remainder is 500 after subtracting 0 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

The final result is 164191.495 with a remainder of 0.0005.