We're dividing 132465 by 13 
We want to figure out the number of times 132465 can be divided by 13.

Step 1:
The number 13 fits into 1 0 times, leaving 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.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 13

Going ahead to step 2:
13 goes into 13 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 13 from 13, we get 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 13

Let's proceed to step 3:
The number 13 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 2, we end up with 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 13

Step 4:
If we divide 24 by 13, we get 1 and a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 101.0
Subtract 13 from 24 to get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 13

Step 5:
116 divided by 13 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1018.0
If we subtract 104 from 116, we get 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 13

On to step 6:
The number 13 fits into 125 9 times, leaving a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 10189.0
The remainder is 8 after subtracting 117 from 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 10189.6
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.

Moving on to step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 10189.61
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.

Step 9:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 10189.615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 10189.6153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 11:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 10189.61538
If we subtract 104 from 110, we get 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 12:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 10189.615384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 10189.6153846
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.

Step 14:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 10189.61538461
Subtract 13 from 20 to 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.

In conclusion, the division gives 10189.61538461 with a balance of 7e-09.