578497 ÷ 11 
We want to figure out the number of times 578497 can be divided by 11.

Advancing to step 1:
11 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 11

Advancing to step 2:
If we divide 57 by 11, we get 5 and a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 55 from 57 and we're left with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 11

Step 3:
When dividing 28 by 11, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 52.0
Subtract 22 from 28 to get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 11

Advancing to step 4:
11 can be fit into 64 5 times, resulting in a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 525.0
Deduct 55 from 64 and we're left with 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 11

Advancing to step 5:
11 can be fit into 99 9 times, resulting in a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 5259.0
If we take 99 away from 99, we end up with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 11

On to step 6:
When dividing 7 by 11, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 52590.0
Deduct 0 from 7 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 52590.6
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
When dividing 40 by 11, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 52590.63
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 52590.636
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 52590.6363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 11:
If we divide 70 by 11, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 52590.63636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
11 goes into 40 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 52590.636363
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
If we divide 70 by 11, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 52590.6363636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
40 divided by 11 is 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 52590.63636363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 52590.63636363, and the remainder is 7e-09.