6443 ÷ 55 
We're looking to find how many times 55 goes into 6443.

Let's proceed to step 1:
When dividing 6 by 55, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 55

On to step 2:
The number 55 fits into 64 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 55 from 64 to get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 55

Step 3:
If we divide 94 by 55, we get 1 and a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 55 from 94, we get 39.
Grab the next digit (3) from the dividend, add it to 39, then carry on: 393 / 55

Step 4:
When dividing 393 by 55, we get 7 with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.0
The remainder is 8 after subtracting 385 from 393.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 5:
55 goes into 80 1 times with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 117.1
If we subtract 55 from 80, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 6:
55 goes into 250 4 times with a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 117.14
Subtracting 220 from 250 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
If we divide 300 by 55, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 117.145
Subtracting 275 from 300 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
The number 55 fits into 250 4 times, leaving a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 117.1454
The remainder is 30 after subtracting 220 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
55 can be fit into 300 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 117.14545
If we take 275 away from 300, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
250 divided by 55 is 4 with a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 117.145454
The remainder is 30 after subtracting 220 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
The number 55 fits into 300 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 117.1454545
The remainder is 25 after subtracting 275 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 12:
55 goes into 250 4 times with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 117.14545454
Deduct 220 from 250 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 117.14545454 with a balance of 3e-08.