We look at the division of 545655 by 13 
We want to figure out the number of times 545655 can be divided by 13.

Going ahead to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 13

On to step 2:
When dividing 54 by 13, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 52 from 54, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 13

Let's proceed to step 3:
When dividing 25 by 13, we get 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
The remainder is 12 after subtracting 13 from 25.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 13

Going ahead to step 4:
The number 13 fits into 126 9 times, leaving a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 419.0
Subtracting 117 from 126 leaves us with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

On to step 5:
13 can be fit into 95 7 times, resulting in a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 4197.0
If we take 91 away from 95, we end up with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 13

Going ahead to step 6:
13 goes into 45 3 times with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 41973.0
Subtracting 39 from 45 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 41973.4
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
80 divided by 13 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 41973.46
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 41973.461
If we subtract 13 from 20, 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.

Let's proceed to step 10:
If we divide 70 by 13, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 41973.4615
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 11:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 41973.46153
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.

Step 12:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 41973.461538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 41973.4615384
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.

Advancing to step 14:
When dividing 80 by 13, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 41973.46153846
If we take 78 away from 80, we end up 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.

The quotient of the division is 41973.46153846, and the remainder is 2e-09.