6431643 ÷ 554 
We want to figure out the number of times 6431643 can be divided by 554.

Moving on to step 1:
554 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
The remainder is 6 after subtracting 0 from 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 554

Step 2:
64 divided by 554 is 0 with a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Take the next digit (3) from the dividend and append it to 64, then repeat: 643 / 554

On to step 3:
554 goes into 643 1 times with a remainder of 89.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 554 away from 643, we end up with 89.
Take the next digit (1) from the dividend and append it to 89, then repeat: 891 / 554

Step 4:
When dividing 891 by 554, we get 1 with a remainder of 337.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 554 from 891 to get 337.
Bring next digit (6) of the dividend behind the 337 and repeat the process: 3376 / 554

Let's proceed to step 5:
554 can be fit into 3376 6 times, resulting in a remainder of 52.
The next digit of our result is 6. 
Result so far: 116.0
If we subtract 3324 from 3376, we get 52.
Include the next digit (4) from the dividend after 52, then repeat: 524 / 554

Step 6:
554 goes into 524 0 times with a remainder of 524.
Put 0 as the next digit of the answer. 
Result so far: 1160.0
Deduct 0 from 524 and we're left with 524.
Include the next digit (3) from the dividend after 524, then repeat: 5243 / 554

Step 7:
The number 554 fits into 5243 9 times, leaving a remainder of 257.
Put 9 as the next digit of the answer. 
Result so far: 11609.0
If we subtract 4986 from 5243, we get 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2570, and continue the process.

Step 8:
The number 554 fits into 2570 4 times, leaving a remainder of 354.
The number 4 becomes the next digit in our result. 
Result so far: 11609.4
If we take 2216 away from 2570, we end up with 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3540, and continue the process.

Let's proceed to step 9:
554 goes into 3540 6 times with a remainder of 216.
The next digit of our result is 6. 
Result so far: 11609.46
If we subtract 3324 from 3540, we get 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Moving on to step 10:
The number 554 fits into 2160 3 times, leaving a remainder of 498.
The next digit of our result is 3. 
Result so far: 11609.463
If we subtract 1662 from 2160, we get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

On to step 11:
When dividing 4980 by 554, we get 8 with a remainder of 548.
Put 8 as the next digit of the answer. 
Result so far: 11609.4638
Subtracting 4432 from 4980 leaves us with 548.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5480, and continue the process.

Step 12:
When dividing 5480 by 554, we get 9 with a remainder of 494.
Record the quotient 9 as the next digit in the result. 
Result so far: 11609.46389
If we take 4986 away from 5480, we end up with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

On to step 13:
If we divide 4940 by 554, we get 8 and a remainder of 508.
Use 8 as the next digit of our solution. 
Result so far: 11609.463898
The remainder is 508 after subtracting 4432 from 4940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5080, and continue the process.

Going ahead to step 14:
The number 554 fits into 5080 9 times, leaving a remainder of 94.
The next digit of our result is 9. 
Result so far: 11609.4638989
Deduct 4986 from 5080 and we're left with 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Moving on to step 15:
If we divide 940 by 554, we get 1 and a remainder of 386.
Put 1 as the next digit of the answer. 
Result so far: 11609.46389891
Subtracting 554 from 940 leaves us with 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

In conclusion, the division gives 11609.46389891 with a balance of 3.86e-07.