938919 ÷ 11 
Our goal is to divide 938919 by 11.

Step 1:
11 goes into 9 0 times with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 11

Going ahead to step 2:
When dividing 93 by 11, we get 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 88 from 93 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 11

Going ahead to step 3:
58 divided by 11 is 5 with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
Deduct 55 from 58 and we're left with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 11

Step 4:
If we divide 39 by 11, we get 3 and a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 853.0
Subtract 33 from 39 to get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 11

Moving on to step 5:
The number 11 fits into 61 5 times, leaving a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 8535.0
Deduct 55 from 61 and we're left with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 11

On to step 6:
11 can be fit into 69 6 times, resulting in a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 85356.0
Deduct 66 from 69 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.

Advancing to step 7:
If we divide 30 by 11, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 85356.2
Subtract 22 from 30 to 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.

Let's proceed to step 8:
If we divide 80 by 11, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 85356.27
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.

Going ahead to step 9:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 85356.272
Subtract 22 from 30 to 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.

On to step 10:
When dividing 80 by 11, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 85356.2727
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.

On to step 11:
When dividing 30 by 11, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 85356.27272
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.

Step 12:
11 goes into 80 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 85356.272727
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 13:
The number 11 fits into 30 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 85356.2727272
If we subtract 22 from 30, 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.

Let's proceed to step 14:
When dividing 80 by 11, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 85356.27272727
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.

Our division results in 85356.27272727 with a remaining 3e-09.