643633 divided by 11 
We want to divide 643633 by 11.

Moving on to step 1:
When dividing 6 by 11, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 11

Going ahead to step 2:
If we divide 64 by 11, we get 5 and a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 55 from 64, we get 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 11

Moving on to step 3:
The number 11 fits into 93 8 times, leaving a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
The remainder is 5 after subtracting 88 from 93.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 11

On to step 4:
When dividing 56 by 11, we get 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 585.0
Subtract 55 from 56 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 11

Advancing to step 5:
When dividing 13 by 11, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 5851.0
Deduct 11 from 13 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 11

Step 6:
The number 11 fits into 23 2 times, leaving a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 58512.0
Deduct 22 from 23 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
If we divide 10 by 11, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 58512.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 11, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 58512.09
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
11 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 58512.09
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 58512.0909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 58512.0909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 58512.090909
If we take 99 away from 100, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
When dividing 10 by 11, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 58512.090909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 58512.09090909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 58512.09090909, and the remainder is 1e-09.