We're dividing 11365 by 34 
We want to divide 11365 by 34.

Step 1:
When dividing 1 by 34, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 34

Moving on to step 2:
The number 34 fits into 11 0 times, leaving a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 34

Advancing to step 3:
34 can be fit into 113 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 102 away from 113, we end up with 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 34

Moving on to step 4:
If we divide 116 by 34, we get 3 and a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
Subtract 102 from 116 to get 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 34

Advancing to step 5:
The number 34 fits into 145 4 times, leaving a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 334.0
Subtract 136 from 145 to 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.

Let's proceed to step 6:
90 divided by 34 is 2 with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 334.2
Subtracting 68 from 90 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
220 divided by 34 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 334.26
Deduct 204 from 220 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
160 divided by 34 is 4 with a remainder of 24.
The next digit of our result is 4. 
Result so far: 334.264
If we take 136 away from 160, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
The number 34 fits into 240 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 334.2647
Subtract 238 from 240 to get 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 10:
When dividing 20 by 34, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 334.2647
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
When dividing 200 by 34, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 334.264705
Subtract 170 from 200 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 12:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 334.2647058
Deduct 272 from 300 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 13:
If we divide 280 by 34, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 334.26470588
If we subtract 272 from 280, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 334.26470588 with a remaining 8e-09.