13365 ÷ 43 
We're looking to find how many times 43 goes into 13365.

On to step 1:
1 divided by 43 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 43

Step 2:
If we divide 13 by 43, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 43

Let's proceed to step 3:
When dividing 133 by 43, we get 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 129 from 133, we get 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 43

Advancing to step 4:
If we divide 46 by 43, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 31.0
If we take 43 away from 46, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 43

Moving on to step 5:
If we divide 35 by 43, we get 0 and a remainder of 35.
The next digit of our result is 0. 
Result so far: 310.0
Subtracting 0 from 35 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 6:
43 goes into 350 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 310.8
Subtract 344 from 350 to 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.

Let's proceed to step 7:
43 goes into 60 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 310.81
If we subtract 43 from 60, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 8:
170 divided by 43 is 3 with a remainder of 41.
Record the quotient 3 as the next digit in the result. 
Result so far: 310.813
The remainder is 41 after subtracting 129 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 9:
43 goes into 410 9 times with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 310.8139
Subtracting 387 from 410 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 10:
230 divided by 43 is 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 310.81395
Deduct 215 from 230 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 11:
When dividing 150 by 43, we get 3 with a remainder of 21.
The next digit of our result is 3. 
Result so far: 310.813953
Subtracting 129 from 150 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 12:
43 can be fit into 210 4 times, resulting in a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 310.8139534
If we take 172 away from 210, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 13:
43 can be fit into 380 8 times, resulting in a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 310.81395348
If we take 344 away from 380, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 310.81395348 and a remainder of 3.6e-08.