We look at the division of 6445654 by 431 
We're looking to find how many times 431 goes into 6445654.

On to step 1:
431 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 431

Advancing to step 2:
431 goes into 64 0 times with a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Include the next digit (4) from the dividend after 64, then repeat: 644 / 431

Moving on to step 3:
If we divide 644 by 431, we get 1 and a remainder of 213.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 431 from 644 and we're left with 213.
Fetch the next digit (5) from the dividend, attach it to 213 and continue: 2135 / 431

Step 4:
431 can be fit into 2135 4 times, resulting in a remainder of 411.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Subtracting 1724 from 2135 leaves us with 411.
Include the next digit (6) from the dividend after 411, then repeat: 4116 / 431

Going ahead to step 5:
The number 431 fits into 4116 9 times, leaving a remainder of 237.
Record the quotient 9 as the next digit in the result. 
Result so far: 149.0
If we take 3879 away from 4116, we end up with 237.
Grab the next digit (5) from the dividend, add it to 237, then carry on: 2375 / 431

Let's proceed to step 6:
431 goes into 2375 5 times with a remainder of 220.
The next digit of our result is 5. 
Result so far: 1495.0
Subtract 2155 from 2375 to get 220.
Grab the next digit (4) from the dividend, add it to 220, then carry on: 2204 / 431

On to step 7:
When dividing 2204 by 431, we get 5 with a remainder of 49.
The next digit of our result is 5. 
Result so far: 14955.0
If we subtract 2155 from 2204, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 8:
When dividing 490 by 431, we get 1 with a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 14955.1
If we take 431 away from 490, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 9:
590 divided by 431 is 1 with a remainder of 159.
The number 1 becomes the next digit in our result. 
Result so far: 14955.11
Subtracting 431 from 590 leaves us with 159.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1590, and continue the process.

In conclusion, the division gives 14955.11 with a balance of 0.159.