193374 ÷ 13 
Our goal is to divide 193374 by 13.

Step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 13

Moving on to step 2:
When dividing 19 by 13, we get 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 13 from 19, we get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 13

Let's proceed to step 3:
13 goes into 63 4 times with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 11 after subtracting 52 from 63.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 13

Moving on to step 4:
When dividing 113 by 13, we get 8 with a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 148.0
Deduct 104 from 113 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 13

On to step 5:
If we divide 97 by 13, we get 7 and a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 1487.0
The remainder is 6 after subtracting 91 from 97.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 13

Moving on to step 6:
The number 13 fits into 64 4 times, leaving a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 14874.0
If we subtract 52 from 64, we 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.

Going ahead to step 7:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 14874.9
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 14874.92
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 14874.923
Deduct 39 from 40 and we're left 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.

Advancing to step 10:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 14874.923
Subtracting 0 from 10 leaves us 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.

Advancing to step 11:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 14874.92307
If we take 91 away from 100, we end up 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.

Step 12:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 14874.923076
Deduct 78 from 90 and we're left 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.

Let's proceed to step 13:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 14874.9230769
Deduct 117 from 120 and we're left with 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 14:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 14874.92307692
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.

Our division results in 14874.92307692 with a remaining 4e-09.