Let's divide 565419 by 17
We want to divide 565419 by 17.

Going ahead to step 1:
17 can be fit into 5 0 times, resulting in 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.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 17

Step 2:
17 can be fit into 56 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 51 from 56, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 17

Step 3:
If we divide 55 by 17, we get 3 and a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Deduct 51 from 55 and we're left with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 17

Advancing to step 4:
The number 17 fits into 44 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 332.0
Subtracting 34 from 44 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 17

Moving on to step 5:
101 divided by 17 is 5 with a remainder of 16.
The next digit of our result is 5. 
Result so far: 3325.0
The remainder is 16 after subtracting 85 from 101.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 17

Let's proceed to step 6:
If we divide 169 by 17, we get 9 and a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 33259.0
Subtracting 153 from 169 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
When dividing 160 by 17, we get 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 33259.9
If we take 153 away from 160, we end up 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.

Moving on to step 8:
If we divide 70 by 17, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 33259.94
Subtracting 68 from 70 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
The number 17 fits into 20 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 33259.941
Deduct 17 from 20 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
When dividing 30 by 17, we get 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 33259.9411
If we take 17 away from 30, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 33259.9411 and a remainder of 0.00013.