358234 ÷ 11 
We want to figure out the number of times 358234 can be divided by 11.

Step 1:
11 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 11

Step 2:
If we divide 35 by 11, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 33 from 35 to get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 11

Moving on to step 3:
11 can be fit into 28 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
Deduct 22 from 28 and we're left with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 11

Advancing to step 4:
When dividing 62 by 11, we get 5 with a remainder of 7.
The next digit of our result is 5. 
Result so far: 325.0
If we take 55 away from 62, we end up with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 11

On to step 5:
11 can be fit into 73 6 times, resulting in a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 3256.0
Deduct 66 from 73 and we're left with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 11

Going ahead to step 6:
74 divided by 11 is 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 32566.0
Deduct 66 from 74 and we're left 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.

Advancing to step 7:
80 divided by 11 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 32566.7
If we subtract 77 from 80, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
11 goes into 30 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 32566.72
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
When dividing 80 by 11, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 32566.727
Deduct 77 from 80 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
When dividing 30 by 11, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 32566.7272
Deduct 22 from 30 and we're left 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.

Going ahead to step 11:
80 divided by 11 is 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 32566.72727
Subtracting 77 from 80 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 12:
The number 11 fits into 30 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 32566.727272
Subtracting 22 from 30 leaves us 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.

Going ahead to step 13:
11 goes into 80 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 32566.7272727
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 14:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 32566.72727272
If we take 22 away from 30, 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.

The final result is 32566.72727272 with a remainder of 8e-09.