6264729 ÷ 421 
We're looking to find how many times 421 goes into 6264729.

Advancing to step 1:
The number 421 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 421

Advancing to step 2:
If we divide 62 by 421, we get 0 and a remainder of 62.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Append the next digit (6) from the dividend to 62 and continue with: 626 / 421

Going ahead to step 3:
421 can be fit into 626 1 times, resulting in a remainder of 205.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 421 from 626 leaves us with 205.
Append the next digit (4) from the dividend to 205 and continue with: 2054 / 421

Going ahead to step 4:
The number 421 fits into 2054 4 times, leaving a remainder of 370.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we take 1684 away from 2054, we end up with 370.
Fetch the next digit (7) from the dividend, attach it to 370 and continue: 3707 / 421

Let's proceed to step 5:
421 can be fit into 3707 8 times, resulting in a remainder of 339.
Record the quotient 8 as the next digit in the result. 
Result so far: 148.0
Subtract 3368 from 3707 to get 339.
Bring next digit (2) of the dividend behind the 339 and repeat the process: 3392 / 421

Moving on to step 6:
When dividing 3392 by 421, we get 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 1488.0
If we take 3368 away from 3392, we end up with 24.
Append the next digit (9) from the dividend to 24 and continue with: 249 / 421

Advancing to step 7:
421 can be fit into 249 0 times, resulting in a remainder of 249.
Write down 0 as next digit of the result. 
Result so far: 14880.0
If we take 0 away from 249, we end up with 249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2490, and continue the process.

On to step 8:
2490 divided by 421 is 5 with a remainder of 385.
Put 5 as the next digit of the answer. 
Result so far: 14880.5
Subtracting 2105 from 2490 leaves us with 385.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3850, and continue the process.

Let's proceed to step 9:
3850 divided by 421 is 9 with a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 14880.59
Subtracting 3789 from 3850 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 10:
421 can be fit into 610 1 times, resulting in a remainder of 189.
The next digit of our result is 1. 
Result so far: 14880.591
Subtract 421 from 610 to get 189.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1890, and continue the process.

Step 11:
If we divide 1890 by 421, we get 4 and a remainder of 206.
The next digit of our result is 4. 
Result so far: 14880.5914
Subtracting 1684 from 1890 leaves us with 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

Going ahead to step 12:
If we divide 2060 by 421, we get 4 and a remainder of 376.
Write down 4 as next digit of the result. 
Result so far: 14880.59144
Subtracting 1684 from 2060 leaves us with 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

In conclusion, the division gives 14880.59144 with a balance of 0.000376.