We look at the division of 55777 by 13 
We're looking to find how many times 13 goes into 55777.

Going ahead to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
The next digit of our result is 0. 
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

Moving on to step 2:
13 can be fit into 55 4 times, resulting in a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 52 away from 55, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 13

Let's proceed to step 3:
13 goes into 37 2 times with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 42.0
Subtracting 26 from 37 leaves us with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 13

On to step 4:
13 goes into 117 9 times with a remainder of 0.
The next digit of our result is 9. 
Result so far: 429.0
The remainder is 0 after subtracting 117 from 117.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 13

On to step 5:
13 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 4290.0
If we subtract 0 from 7, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 6:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4290.5
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.

Advancing to step 7:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 4290.53
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 4290.538
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.

Let's proceed to step 9:
When dividing 60 by 13, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 4290.5384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 4290.53846
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 11:
13 goes into 20 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 4290.538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4290.5384615
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.

Moving on to step 13:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 4290.53846153
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.

The quotient of the division is 4290.53846153, and the remainder is 1.1e-08.