We're dividing 17346 by 13 
We're looking to find how many times 13 goes into 17346.

Let's proceed to step 1:
1 divided by 13 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 13

Advancing to step 2:
13 can be fit into 17 1 times, resulting in a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 13 from 17 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 13

Moving on to step 3:
13 goes into 43 3 times with a remainder of 4.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 39 from 43 leaves us with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 13

Going ahead to step 4:
When dividing 44 by 13, we get 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 133.0
The remainder is 5 after subtracting 39 from 44.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 13

Step 5:
When dividing 56 by 13, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 1334.0
If we take 52 away from 56, 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.

Advancing to step 6:
If we divide 40 by 13, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 1334.3
The remainder is 1 after subtracting 39 from 40.
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 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: 1334.3
The remainder is 10 after subtracting 0 from 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 8:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 1334.307
Deduct 91 from 100 and we're left 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.

Moving on to step 9:
The number 13 fits into 90 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 1334.3076
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.

Going ahead to step 10:
If we divide 120 by 13, we get 9 and a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 1334.30769
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.

Let's proceed to step 11:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 1334.307692
Subtracting 26 from 30 leaves us 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 12:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 1334.3076923
If we subtract 39 from 40, we 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.

On to step 13:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 1334.3076923
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.

The final outcome is 1334.3076923, with a leftover of 1e-08.