We look at the division of 174548 by 13 
Our goal is to divide 174548 by 13.

Going ahead to step 1:
13 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 13

Moving on to step 2:
The number 13 fits into 17 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
If we take 13 away from 17, we end up with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 13

Advancing to step 3:
The number 13 fits into 44 3 times, leaving a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Deduct 39 from 44 and we're left with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 13

Step 4:
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: 134.0
Deduct 52 from 55 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 13

Going ahead to step 5:
The number 13 fits into 34 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 1342.0
Deduct 26 from 34 and we're left with 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 13

Moving on to step 6:
The number 13 fits into 88 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 13426.0
If we take 78 away from 88, 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 7:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 13426.7
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.

Step 8:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 13426.76
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 13426.769
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.

Advancing to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 13426.7692
If we take 26 away from 30, we end up 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.

Step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 13426.76923
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.

Let's proceed to step 12:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 13426.76923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 13426.7692307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 13426.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 13426.76923076 and a remainder of 1.2e-08.