We're dividing 644601 by 11 
Let's see how many times 11 fits into 644601.

Moving on to step 1:
If we divide 6 by 11, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 11

Step 2:
64 divided by 11 is 5 with a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 55 away from 64, we end up with 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 11

Going ahead to step 3:
94 divided by 11 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
The remainder is 6 after subtracting 88 from 94.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 11

Advancing to step 4:
11 can be fit into 66 6 times, resulting in a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 586.0
Subtract 66 from 66 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 11

Moving on to step 5:
11 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5860.0
Deduct 0 from 0 and we're left with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 11

Let's proceed to step 6:
The number 11 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 58600.0
Subtract 0 from 1 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.

Let's proceed to step 7:
11 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 58600.0
If we take 0 away from 10, we end up 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.

Step 8:
100 divided by 11 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 58600.09
The remainder is 1 after subtracting 99 from 100.
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:
10 divided by 11 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 58600.09
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 58600.0909
Subtracting 99 from 100 leaves us 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.

Going ahead to step 11:
11 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 58600.0909
The remainder is 10 after subtracting 0 from 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 12:
If we divide 100 by 11, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 58600.090909
Deduct 99 from 100 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 13:
When dividing 10 by 11, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 58600.090909
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.

Let's proceed to step 14:
When dividing 100 by 11, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 58600.09090909
Deduct 99 from 100 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.

The final outcome is 58600.09090909, with a leftover of 1e-09.