566543 ÷ 55 
We're looking to find how many times 55 goes into 566543.

Step 1:
5 divided by 55 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 55

Moving on to step 2:
55 can be fit into 56 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 55 from 56, we get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 55

Moving on to step 3:
If we divide 16 by 55, we get 0 and a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 16 leaves us with 16.
Take the next digit (5) from the dividend and append it to 16, then repeat: 165 / 55

Let's proceed to step 4:
When dividing 165 by 55, we get 3 with a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 103.0
If we subtract 165 from 165, we get 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 55

On to step 5:
4 divided by 55 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 1030.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 55

Moving on to step 6:
When dividing 43 by 55, we get 0 with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 10300.0
The remainder is 43 after subtracting 0 from 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 7:
55 goes into 430 7 times with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 10300.7
Subtracting 385 from 430 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 8:
If we divide 450 by 55, we get 8 and a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 10300.78
Deduct 440 from 450 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
55 can be fit into 100 1 times, resulting in a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 10300.781
Subtracting 55 from 100 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 10:
The number 55 fits into 450 8 times, leaving a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 10300.7818
Deduct 440 from 450 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
55 can be fit into 100 1 times, resulting in a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 10300.78181
If we take 55 away from 100, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 12:
55 can be fit into 450 8 times, resulting in a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 10300.781818
If we take 440 away from 450, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
When dividing 100 by 55, we get 1 with a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 10300.7818181
If we take 55 away from 100, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 14:
55 can be fit into 450 8 times, resulting in a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 10300.78181818
The remainder is 10 after subtracting 440 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 10300.78181818 with a remainder of 1e-08.