721234 ÷ 11 
Our goal is to divide 721234 by 11.

Step 1:
The number 11 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 11

On to step 2:
If we divide 72 by 11, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 66 from 72 and we're left with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 11

Advancing to step 3:
The number 11 fits into 61 5 times, leaving a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 65.0
Subtract 55 from 61 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 11

On to step 4:
11 can be fit into 62 5 times, resulting in a remainder of 7.
The next digit of our result is 5. 
Result so far: 655.0
If we take 55 away from 62, we end up with 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 11

Step 5:
11 goes into 73 6 times with a remainder of 7.
The next digit of our result is 6. 
Result so far: 6556.0
Subtract 66 from 73 to get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 11

On to step 6:
11 can be fit into 74 6 times, resulting in a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 65566.0
The remainder is 8 after subtracting 66 from 74.
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:
When dividing 80 by 11, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 65566.7
Subtract 77 from 80 to 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.

Let's proceed to step 8:
30 divided by 11 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 65566.72
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.

Moving on to step 9:
If we divide 80 by 11, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 65566.727
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.

Going ahead to step 10:
30 divided by 11 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 65566.7272
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.

On 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: 65566.72727
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.

Advancing 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: 65566.727272
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 13:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 65566.7272727
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 14:
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: 65566.72727272
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.

After the division, we end up with 65566.72727272 and a remainder of 8e-09.