We're dividing 598396 by 17 
We want to figure out the number of times 598396 can be divided by 17.

Advancing to step 1:
17 can be fit into 5 0 times, resulting in 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.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 17

Advancing to step 2:
17 can be fit into 59 3 times, resulting in a remainder of 8.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 51 from 59 and we're left with 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 17

Advancing to step 3:
17 can be fit into 88 5 times, resulting in a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Deduct 85 from 88 and we're left with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 17

Step 4:
17 goes into 33 1 times with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 351.0
If we take 17 away from 33, we end up with 16.
Include the next digit (9) from the dividend after 16, then repeat: 169 / 17

Moving on to step 5:
17 goes into 169 9 times with a remainder of 16.
The next digit of our result is 9. 
Result so far: 3519.0
If we subtract 153 from 169, we get 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 17

Moving on to step 6:
The number 17 fits into 166 9 times, leaving a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 35199.0
The remainder is 13 after subtracting 153 from 166.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
When dividing 130 by 17, we get 7 with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 35199.7
Subtracting 119 from 130 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
The number 17 fits into 110 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 35199.76
If we subtract 102 from 110, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
When dividing 80 by 17, we get 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 35199.764
The remainder is 12 after subtracting 68 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
The number 17 fits into 120 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 35199.7647
If we take 119 away from 120, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
If we divide 10 by 17, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 35199.7647
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
When dividing 100 by 17, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 35199.764705
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 13:
150 divided by 17 is 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 35199.7647058
The remainder is 14 after subtracting 136 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 14:
The number 17 fits into 140 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 35199.76470588
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 35199.76470588, with a leftover of 4e-09.