We look at the division of 613601 by 11 
We're looking to find how many times 11 goes into 613601.

Let's proceed to step 1:
If we divide 6 by 11, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 11

Moving on to step 2:
61 divided by 11 is 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 55 from 61 and we're left with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 11

Moving on to step 3:
11 can be fit into 63 5 times, resulting in a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
If we take 55 away from 63, we end up with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 11

Step 4:
11 goes into 86 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 557.0
Subtract 77 from 86 to get 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 11

Let's proceed to step 5:
If we divide 90 by 11, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 5578.0
If we subtract 88 from 90, we get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 11

Step 6:
If we divide 21 by 11, we get 1 and a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 55781.0
Subtract 11 from 21 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.

Let's proceed to step 7:
When dividing 100 by 11, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 55781.9
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 8:
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: 55781.9
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.

On to step 9:
When dividing 100 by 11, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 55781.909
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 10:
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: 55781.909
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.

Step 11:
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: 55781.90909
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.

On to step 12:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 55781.90909
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.

Advancing to step 13:
11 goes into 100 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 55781.9090909
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.

Going ahead to step 14:
When dividing 10 by 11, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 55781.9090909
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.

Our division results in 55781.9090909 with a remaining 1e-08.