We're dividing 556511 by 13 
Let's see how many times 13 fits into 556511.

Advancing to step 1:
When dividing 5 by 13, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 13

Let's proceed to step 2:
13 goes into 55 4 times with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 52 from 55 to get 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 13

Moving on to step 3:
When dividing 36 by 13, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Deduct 26 from 36 and we're left with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 13

Step 4:
105 divided by 13 is 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 428.0
The remainder is 1 after subtracting 104 from 105.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 13

Advancing to step 5:
If we divide 11 by 13, we get 0 and a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 4280.0
If we subtract 0 from 11, we get 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 13

Going ahead to step 6:
The number 13 fits into 111 8 times, leaving a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 42808.0
Subtracting 104 from 111 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 42808.5
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 42808.53
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 42808.538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 42808.5384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 42808.53846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 42808.538461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 42808.5384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 42808.53846153
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The quotient of the division is 42808.53846153, and the remainder is 1.1e-08.