34113 ÷ 11 
Let's see how many times 11 fits into 34113.

Moving on to step 1:
When dividing 3 by 11, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 11

Going ahead to step 2:
The number 11 fits into 34 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 1 after subtracting 33 from 34.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 11

Advancing to step 3:
If we divide 11 by 11, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
The remainder is 0 after subtracting 11 from 11.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 11

Let's proceed to step 4:
If we divide 1 by 11, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 310.0
If we take 0 away from 1, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 11

On to step 5:
11 can be fit into 13 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 3101.0
Subtracting 11 from 13 leaves us 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 6:
11 can be fit into 20 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 3101.1
Subtract 11 from 20 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.

Step 7:
11 goes into 90 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 3101.18
Deduct 88 from 90 and we're left 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 8:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 3101.181
Subtracting 11 from 20 leaves us 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:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 3101.1818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
If we divide 20 by 11, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 3101.18181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
11 goes into 90 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 3101.181818
If we take 88 away from 90, 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 12:
If we divide 20 by 11, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 3101.1818181
Deduct 11 from 20 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 13:
11 goes into 90 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 3101.18181818
If we subtract 88 from 90, we 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.

After the division, we end up with 3101.18181818 and a remainder of 2e-09.