579978 divided by 17 
We're looking to find how many times 17 goes into 579978.

Moving on to step 1:
If we divide 5 by 17, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 17

Advancing to step 2:
17 goes into 57 3 times with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 51 from 57 leaves us with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 17

On to step 3:
17 can be fit into 69 4 times, resulting in a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
Subtract 68 from 69 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 17

On to step 4:
19 divided by 17 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 341.0
Subtracting 17 from 19 leaves us with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 17

Moving on to step 5:
17 goes into 27 1 times with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 3411.0
Subtract 17 from 27 to get 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 17

Going ahead to step 6:
108 divided by 17 is 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 34116.0
Subtract 102 from 108 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
When dividing 60 by 17, we get 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 34116.3
If we subtract 51 from 60, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
90 divided by 17 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 34116.35
If we subtract 85 from 90, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
50 divided by 17 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 34116.352
Deduct 34 from 50 and we're left 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.

Let's proceed to step 10:
The number 17 fits into 160 9 times, leaving a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 34116.3529
Subtracting 153 from 160 leaves us 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 11:
70 divided by 17 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 34116.35294
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.

Going ahead to step 12:
17 can be fit into 20 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 34116.352941
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 13:
The number 17 fits into 30 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 34116.3529411
Subtracting 17 from 30 leaves us 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.

The quotient of the division is 34116.3529411, and the remainder is 1.3e-07.