We're dividing 598032 by 17 
Our goal is to divide 598032 by 17.

On to step 1:
When dividing 5 by 17, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 17

On to step 2:
59 divided by 17 is 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 51 from 59, we get 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 17

Step 3:
The number 17 fits into 88 5 times, leaving a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 35.0
If we subtract 85 from 88, we get 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 17

Advancing to step 4:
The number 17 fits into 30 1 times, leaving a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 351.0
If we subtract 17 from 30, we get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 17

Let's proceed to step 5:
17 goes into 133 7 times with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 3517.0
Subtract 119 from 133 to get 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 17

Advancing to step 6:
The number 17 fits into 142 8 times, leaving a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 35178.0
If we take 136 away from 142, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
60 divided by 17 is 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 35178.3
Subtracting 51 from 60 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
If we divide 90 by 17, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 35178.35
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.

Let's proceed to step 9:
17 can be fit into 50 2 times, resulting in a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 35178.352
If we subtract 34 from 50, we get 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:
160 divided by 17 is 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 35178.3529
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.

Step 11:
70 divided by 17 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 35178.35294
Deduct 68 from 70 and we're left 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.

On to step 12:
20 divided by 17 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 35178.352941
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
17 can be fit into 30 1 times, resulting in a remainder of 13.
The next digit of our result is 1. 
Result so far: 35178.3529411
If we subtract 17 from 30, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 35178.3529411 with a balance of 1.3e-07.