Let's divide 55826 by 13
We're looking to find how many times 13 goes into 55826.

Going ahead to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 13

Step 2:
55 divided by 13 is 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 52 from 55, we get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 13

On to step 3:
When dividing 38 by 13, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 42.0
Subtracting 26 from 38 leaves us with 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 13

Advancing to step 4:
If we divide 122 by 13, we get 9 and a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 429.0
Deduct 117 from 122 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 13

Advancing to step 5:
13 can be fit into 56 4 times, resulting in a remainder of 4.
The next digit of our result is 4. 
Result so far: 4294.0
Deduct 52 from 56 and we're left 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 6:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 4294.3
Subtract 39 from 40 to 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.

Moving on to step 7:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 4294.3
Deduct 0 from 10 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.

Step 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 4294.307
If we subtract 91 from 100, 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.

Let's proceed to step 9:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 4294.3076
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.

Moving on to step 10:
120 divided by 13 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 4294.30769
If we subtract 117 from 120, we 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.

Going ahead to step 11:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 4294.307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
40 divided by 13 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 4294.3076923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 4294.3076923
Deduct 0 from 10 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.

The final result is 4294.3076923 with a remainder of 1e-08.