394953 ÷ 11 
We want to figure out the number of times 394953 can be divided by 11.

Advancing to step 1:
If we divide 3 by 11, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 11

Advancing to step 2:
39 divided by 11 is 3 with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 33 from 39, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 11

Step 3:
The number 11 fits into 64 5 times, leaving a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
If we subtract 55 from 64, we get 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 11

Advancing to step 4:
11 can be fit into 99 9 times, resulting in a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 359.0
The remainder is 0 after subtracting 99 from 99.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 11

Let's proceed to step 5:
11 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 3590.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 11

On to step 6:
The number 11 fits into 53 4 times, leaving a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 35904.0
If we take 44 away from 53, we end up 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.

Going ahead to step 7:
11 goes into 90 8 times with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 35904.8
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.

Let's proceed to step 8:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 35904.81
If we subtract 11 from 20, we 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.

Moving on to step 9:
If we divide 90 by 11, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 35904.818
Subtracting 88 from 90 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.

Advancing to step 10:
When dividing 20 by 11, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 35904.8181
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.

Step 11:
90 divided by 11 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 35904.81818
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.

Let's proceed to step 12:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 35904.818181
If we take 11 away from 20, we end up 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.

Advancing to step 13:
When dividing 90 by 11, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 35904.8181818
Subtract 88 from 90 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.

Going ahead to step 14:
20 divided by 11 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 35904.81818181
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.

Our division results in 35904.81818181 with a remaining 9e-09.