We're dividing 597689 by 11 
Let's see how many times 11 fits into 597689.

Step 1:
11 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 11

Going ahead to step 2:
If we divide 59 by 11, we get 5 and a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 55 from 59 leaves us with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 11

Let's proceed to step 3:
11 goes into 47 4 times with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 54.0
The remainder is 3 after subtracting 44 from 47.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 11

Moving on to step 4:
36 divided by 11 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 543.0
Subtract 33 from 36 to get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 11

Moving on to step 5:
When dividing 38 by 11, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 5433.0
Deduct 33 from 38 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 11

On to step 6:
59 divided by 11 is 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 54335.0
Deduct 55 from 59 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
11 goes into 40 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 54335.3
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
If we divide 70 by 11, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 54335.36
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
If we divide 40 by 11, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 54335.363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
70 divided by 11 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 54335.3636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 54335.36363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 54335.363636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
If we divide 40 by 11, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 54335.3636363
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 14:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 54335.36363636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 54335.36363636 and a remainder of 4e-09.