954921 ÷ 11 
Our goal is to divide 954921 by 11.

Advancing to step 1:
11 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 11

Going ahead to step 2:
The number 11 fits into 95 8 times, leaving a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 88 from 95 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 11

Step 3:
The number 11 fits into 74 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 86.0
Subtracting 66 from 74 leaves us with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 11

Moving on to step 4:
89 divided by 11 is 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 868.0
The remainder is 1 after subtracting 88 from 89.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 11

Let's proceed to step 5:
The number 11 fits into 12 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 8681.0
Subtract 11 from 12 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 11

On to step 6:
The number 11 fits into 11 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 86811.0
If we take 11 away from 11, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
If we divide 0 by 11, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 86811.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
0 divided by 11 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 86811.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 86811.0, with a leftover of 0.0.