1006272 ÷ 501 
Let's see how many times 501 fits into 1006272.

Going ahead to step 1:
501 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 501

Advancing to step 2:
When dividing 10 by 501, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 501

Advancing to step 3:
The number 501 fits into 100 0 times, leaving a remainder of 100.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 100 and we're left with 100.
Fetch the next digit (6) from the dividend, attach it to 100 and continue: 1006 / 501

Moving on to step 4:
If we divide 1006 by 501, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 1002 from 1006 and we're left with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 501

Going ahead to step 5:
501 goes into 42 0 times with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Subtract 0 from 42 to get 42.
Append the next digit (7) from the dividend to 42 and continue with: 427 / 501

Step 6:
The number 501 fits into 427 0 times, leaving a remainder of 427.
Write down 0 as next digit of the result. 
Result so far: 200.0
If we take 0 away from 427, we end up with 427.
Append the next digit (2) from the dividend to 427 and continue with: 4272 / 501

Step 7:
501 goes into 4272 8 times with a remainder of 264.
Put 8 as the next digit of the answer. 
Result so far: 2008.0
Subtract 4008 from 4272 to get 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Let's proceed to step 8:
If we divide 2640 by 501, we get 5 and a remainder of 135.
Use 5 as the next digit of our solution. 
Result so far: 2008.5
Subtract 2505 from 2640 to get 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Let's proceed to step 9:
When dividing 1350 by 501, we get 2 with a remainder of 348.
Put 2 as the next digit of the answer. 
Result so far: 2008.52
Subtract 1002 from 1350 to get 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Step 10:
If we divide 3480 by 501, we get 6 and a remainder of 474.
The number 6 becomes the next digit in our result. 
Result so far: 2008.526
Subtract 3006 from 3480 to get 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

Step 11:
The number 501 fits into 4740 9 times, leaving a remainder of 231.
Record the quotient 9 as the next digit in the result. 
Result so far: 2008.5269
The remainder is 231 after subtracting 4509 from 4740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

Let's proceed to step 12:
501 can be fit into 2310 4 times, resulting in a remainder of 306.
The next digit of our result is 4. 
Result so far: 2008.52694
Deduct 2004 from 2310 and we're left with 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

On to step 13:
When dividing 3060 by 501, we get 6 with a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 2008.526946
The remainder is 54 after subtracting 3006 from 3060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 14:
540 divided by 501 is 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 2008.5269461
If we take 501 away from 540, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 15:
390 divided by 501 is 0 with a remainder of 390.
The number 0 becomes the next digit in our result. 
Result so far: 2008.5269461
Deduct 0 from 390 and we're left with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

After the division, we end up with 2008.5269461 and a remainder of 3.9e-07.