189375 divided by 13 
We're looking to find how many times 13 goes into 189375.

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
If we take 0 away from 1, we end up with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 13

Moving on to step 2:
13 goes into 18 1 times with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 13 from 18 leaves us with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 13

On to step 3:
The number 13 fits into 59 4 times, leaving a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Deduct 52 from 59 and we're left with 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 13

Going ahead to step 4:
13 goes into 73 5 times with a remainder of 8.
The next digit of our result is 5. 
Result so far: 145.0
Subtracting 65 from 73 leaves us with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 13

Moving on to step 5:
The number 13 fits into 87 6 times, leaving a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 1456.0
Subtract 78 from 87 to get 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 13

Going ahead to step 6:
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: 14567.0
Subtract 91 from 95 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.

Going ahead to step 7:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 14567.3
Subtracting 39 from 40 leaves us 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 8:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 14567.3
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 9:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 14567.307
If we subtract 91 from 100, we get 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 10:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 14567.3076
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.

Step 11:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 14567.30769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 14567.307692
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.

Let's proceed to step 13:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 14567.3076923
Subtracting 39 from 40 leaves us 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 14:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 14567.3076923
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.

In conclusion, the division gives 14567.3076923 with a balance of 1e-08.