Let's divide 6406909 by 430
Our goal is to divide 6406909 by 430.

Going ahead to step 1:
The number 430 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 430

Advancing to step 2:
430 can be fit into 64 0 times, resulting in a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Include the next digit (0) from the dividend after 64, then repeat: 640 / 430

Let's proceed to step 3:
The number 430 fits into 640 1 times, leaving a remainder of 210.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 430 from 640, we get 210.
Grab the next digit (6) from the dividend, add it to 210, then carry on: 2106 / 430

On to step 4:
430 can be fit into 2106 4 times, resulting in a remainder of 386.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we subtract 1720 from 2106, we get 386.
Take the next digit (9) from the dividend and append it to 386, then repeat: 3869 / 430

Moving on to step 5:
430 can be fit into 3869 8 times, resulting in a remainder of 429.
The next digit of our result is 8. 
Result so far: 148.0
If we take 3440 away from 3869, we end up with 429.
Take the next digit (0) from the dividend and append it to 429, then repeat: 4290 / 430

Moving on to step 6:
The number 430 fits into 4290 9 times, leaving a remainder of 420.
Put 9 as the next digit of the answer. 
Result so far: 1489.0
If we subtract 3870 from 4290, we get 420.
Bring next digit (9) of the dividend behind the 420 and repeat the process: 4209 / 430

Advancing to step 7:
430 goes into 4209 9 times with a remainder of 339.
Write down 9 as next digit of the result. 
Result so far: 14899.0
The remainder is 339 after subtracting 3870 from 4209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3390, and continue the process.

Step 8:
3390 divided by 430 is 7 with a remainder of 380.
The next digit of our result is 7. 
Result so far: 14899.7
If we take 3010 away from 3390, we end up with 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

On to step 9:
3800 divided by 430 is 8 with a remainder of 360.
Use 8 as the next digit of our solution. 
Result so far: 14899.78
If we subtract 3440 from 3800, we get 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Advancing to step 10:
430 can be fit into 3600 8 times, resulting in a remainder of 160.
Put 8 as the next digit of the answer. 
Result so far: 14899.788
If we subtract 3440 from 3600, we get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

In conclusion, the division gives 14899.788 with a balance of 0.016.