4224231 ÷ 511 
We want to figure out the number of times 4224231 can be divided by 511.

Let's proceed to step 1:
511 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 511

Advancing to step 2:
When dividing 42 by 511, we get 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 511

Let's proceed to step 3:
422 divided by 511 is 0 with a remainder of 422.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 422 to get 422.
Fetch the next digit (4) from the dividend, attach it to 422 and continue: 4224 / 511

On to step 4:
When dividing 4224 by 511, we get 8 with a remainder of 136.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 4088 from 4224 and we're left with 136.
Include the next digit (2) from the dividend after 136, then repeat: 1362 / 511

Moving on to step 5:
1362 divided by 511 is 2 with a remainder of 340.
Use 2 as the next digit of our solution. 
Result so far: 82.0
Subtract 1022 from 1362 to get 340.
Take the next digit (3) from the dividend and append it to 340, then repeat: 3403 / 511

Step 6:
The number 511 fits into 3403 6 times, leaving a remainder of 337.
The number 6 becomes the next digit in our result. 
Result so far: 826.0
Deduct 3066 from 3403 and we're left with 337.
Grab the next digit (1) from the dividend, add it to 337, then carry on: 3371 / 511

Advancing to step 7:
If we divide 3371 by 511, we get 6 and a remainder of 305.
Use 6 as the next digit of our solution. 
Result so far: 8266.0
Deduct 3066 from 3371 and we're left with 305.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3050, and continue the process.

Step 8:
When dividing 3050 by 511, we get 5 with a remainder of 495.
Write down 5 as next digit of the result. 
Result so far: 8266.5
Subtract 2555 from 3050 to get 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Going ahead to step 9:
If we divide 4950 by 511, we get 9 and a remainder of 351.
The next digit of our result is 9. 
Result so far: 8266.59
If we subtract 4599 from 4950, we get 351.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3510, and continue the process.

On to step 10:
If we divide 3510 by 511, we get 6 and a remainder of 444.
Use 6 as the next digit of our solution. 
Result so far: 8266.596
If we subtract 3066 from 3510, we get 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Let's proceed to step 11:
511 goes into 4440 8 times with a remainder of 352.
Record the quotient 8 as the next digit in the result. 
Result so far: 8266.5968
The remainder is 352 after subtracting 4088 from 4440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

Step 12:
3520 divided by 511 is 6 with a remainder of 454.
Use 6 as the next digit of our solution. 
Result so far: 8266.59686
The remainder is 454 after subtracting 3066 from 3520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Moving on to step 13:
The number 511 fits into 4540 8 times, leaving a remainder of 452.
Put 8 as the next digit of the answer. 
Result so far: 8266.596868
Subtract 4088 from 4540 to get 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

On to step 14:
511 goes into 4520 8 times with a remainder of 432.
The number 8 becomes the next digit in our result. 
Result so far: 8266.5968688
If we subtract 4088 from 4520, we get 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

Our division results in 8266.5968688 with a remaining 4.32e-06.