953431 divided by 11 
We're looking to find how many times 11 goes into 953431.

On to step 1:
When dividing 9 by 11, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 11

Let's proceed to step 2:
95 divided by 11 is 8 with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 7 after subtracting 88 from 95.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 11

Step 3:
11 goes into 73 6 times with a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 86.0
Subtract 66 from 73 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 11

Moving on to step 4:
When dividing 74 by 11, we get 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 866.0
If we take 66 away from 74, we end up with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 11

Advancing to step 5:
When dividing 83 by 11, we get 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 8667.0
If we take 77 away from 83, we end up with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 11

On to step 6:
11 goes into 61 5 times with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 86675.0
If we take 55 away from 61, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
The number 11 fits into 60 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 86675.5
Deduct 55 from 60 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
11 goes into 50 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 86675.54
Subtracting 44 from 50 leaves us with 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 9:
60 divided by 11 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 86675.545
If we take 55 away from 60, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 86675.5454
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
If we divide 60 by 11, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 86675.54545
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 86675.545454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
When dividing 60 by 11, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 86675.5454545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
If we divide 50 by 11, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 86675.54545454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 86675.54545454 with a balance of 6e-09.