We look at the division of 561979 by 33 
We're looking to find how many times 33 goes into 561979.

Going ahead to step 1:
33 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 33

Step 2:
When dividing 56 by 33, we get 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 33 from 56, we get 23.
Fetch the next digit (1) from the dividend, attach it to 23 and continue: 231 / 33

Step 3:
When dividing 231 by 33, we get 7 with a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtract 231 from 231 to get 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 33

On to step 4:
The number 33 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 170.0
If we take 0 away from 9, we end up with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 33

Step 5:
33 can be fit into 97 2 times, resulting in a remainder of 31.
Use 2 as the next digit of our solution. 
Result so far: 1702.0
If we take 66 away from 97, we end up with 31.
Include the next digit (9) from the dividend after 31, then repeat: 319 / 33

Going ahead to step 6:
319 divided by 33 is 9 with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 17029.0
Subtract 297 from 319 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
When dividing 220 by 33, we get 6 with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 17029.6
If we subtract 198 from 220, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
When dividing 220 by 33, we get 6 with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 17029.66
Subtracting 198 from 220 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 17029.66, and the remainder is 0.022.