517641 ÷ 11 
We want to divide 517641 by 11.

On to step 1:
If we divide 5 by 11, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 11

Step 2:
11 goes into 51 4 times with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 7 after subtracting 44 from 51.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 11

Moving on to step 3:
If we divide 77 by 11, we get 7 and a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 47.0
If we take 77 away from 77, we end up with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 11

On to step 4:
11 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 470.0
If we subtract 0 from 6, we get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 11

Advancing to step 5:
If we divide 64 by 11, we get 5 and a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 4705.0
Deduct 55 from 64 and we're left with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 11

Let's proceed to step 6:
The number 11 fits into 91 8 times, leaving a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 47058.0
Deduct 88 from 91 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.

Let's proceed to step 7:
11 goes into 30 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 47058.2
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 8:
80 divided by 11 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 47058.27
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.

Going ahead to step 9:
When dividing 30 by 11, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 47058.272
Subtracting 22 from 30 leaves us 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.

Advancing to step 10:
11 goes into 80 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 47058.2727
Subtracting 77 from 80 leaves us 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.

Let's proceed to step 11:
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: 47058.27272
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.

On to step 12:
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: 47058.272727
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.

Advancing to step 13:
11 goes into 30 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 47058.2727272
Subtracting 22 from 30 leaves us 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 14:
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: 47058.27272727
Subtracting 77 from 80 leaves us 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.

The final result is 47058.27272727 with a remainder of 3e-09.