6284421 ÷ 501 
We want to figure out the number of times 6284421 can be divided by 501.

Let's proceed to step 1:
When dividing 6 by 501, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 501

Advancing to step 2:
501 can be fit into 62 0 times, resulting in a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Take the next digit (8) from the dividend and append it to 62, then repeat: 628 / 501

Moving on to step 3:
If we divide 628 by 501, we get 1 and a remainder of 127.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 501 from 628 leaves us with 127.
Grab the next digit (4) from the dividend, add it to 127, then carry on: 1274 / 501

Step 4:
When dividing 1274 by 501, we get 2 with a remainder of 272.
Put 2 as the next digit of the answer. 
Result so far: 12.0
The remainder is 272 after subtracting 1002 from 1274.
Grab the next digit (4) from the dividend, add it to 272, then carry on: 2724 / 501

Going ahead to step 5:
When dividing 2724 by 501, we get 5 with a remainder of 219.
The next digit of our result is 5. 
Result so far: 125.0
If we subtract 2505 from 2724, we get 219.
Grab the next digit (2) from the dividend, add it to 219, then carry on: 2192 / 501

Step 6:
If we divide 2192 by 501, we get 4 and a remainder of 188.
The number 4 becomes the next digit in our result. 
Result so far: 1254.0
Subtracting 2004 from 2192 leaves us with 188.
Bring next digit (1) of the dividend behind the 188 and repeat the process: 1881 / 501

Let's proceed to step 7:
If we divide 1881 by 501, we get 3 and a remainder of 378.
Record the quotient 3 as the next digit in the result. 
Result so far: 12543.0
If we subtract 1503 from 1881, we get 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Moving on to step 8:
When dividing 3780 by 501, we get 7 with a remainder of 273.
Write down 7 as next digit of the result. 
Result so far: 12543.7
The remainder is 273 after subtracting 3507 from 3780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2730, and continue the process.

Advancing to step 9:
2730 divided by 501 is 5 with a remainder of 225.
Record the quotient 5 as the next digit in the result. 
Result so far: 12543.75
If we take 2505 away from 2730, we end up with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Step 10:
501 can be fit into 2250 4 times, resulting in a remainder of 246.
The number 4 becomes the next digit in our result. 
Result so far: 12543.754
Subtracting 2004 from 2250 leaves us with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

On to step 11:
The number 501 fits into 2460 4 times, leaving a remainder of 456.
Put 4 as the next digit of the answer. 
Result so far: 12543.7544
If we subtract 2004 from 2460, we get 456.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4560, and continue the process.

Our division results in 12543.7544 with a remaining 0.00456.