Let's divide 553419 by 13
Our goal is to divide 553419 by 13.

Moving on to step 1:
13 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 13

Going ahead to step 2:
The number 13 fits into 55 4 times, leaving a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 52 from 55 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 13

Step 3:
13 can be fit into 33 2 times, resulting in a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 42.0
If we take 26 away from 33, we end up with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 13

Moving on to step 4:
13 goes into 74 5 times with a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 425.0
The remainder is 9 after subtracting 65 from 74.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 13

Going ahead to step 5:
13 can be fit into 91 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 4257.0
Deduct 91 from 91 and we're left with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 13

On to step 6:
13 goes into 9 0 times with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 42570.0
If we subtract 0 from 9, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 42570.6
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
When dividing 120 by 13, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 42570.69
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 42570.692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 42570.6923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
10 divided by 13 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 42570.6923
If we take 0 away from 10, 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.

Step 12:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 42570.692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 13:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 42570.6923076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 14:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 42570.69230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 42570.69230769, with a leftover of 3e-09.