We're dividing 587961 by 11 
We're looking to find how many times 11 goes into 587961.

Step 1:
The number 11 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 11

On to step 2:
When dividing 58 by 11, we get 5 with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 55 away from 58, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 11

Moving on to step 3:
37 divided by 11 is 3 with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
The remainder is 4 after subtracting 33 from 37.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 11

Let's proceed to step 4:
49 divided by 11 is 4 with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 534.0
Subtracting 44 from 49 leaves us with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 11

Moving on to step 5:
If we divide 56 by 11, we get 5 and a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 5345.0
The remainder is 1 after subtracting 55 from 56.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 11

Let's proceed to step 6:
11 can be fit into 11 1 times, resulting in a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 53451.0
If we subtract 11 from 11, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
0 divided by 11 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 53451.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
If we divide 0 by 11, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 53451.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 53451.0 with a remainder of 0.0.