We divide 597940 by 17
We want to figure out the number of times 597940 can be divided by 17.

Moving on to step 1:
The number 17 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 17

On to step 2:
When dividing 59 by 17, we get 3 with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 51 from 59 to get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 17

Moving on to step 3:
The number 17 fits into 87 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 35.0
If we take 85 away from 87, we end up with 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 17

Step 4:
17 can be fit into 29 1 times, resulting in a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 351.0
If we take 17 away from 29, we end up with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 17

Moving on to step 5:
When dividing 124 by 17, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 3517.0
The remainder is 5 after subtracting 119 from 124.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 17

On to step 6:
When dividing 50 by 17, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 35172.0
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.

On to step 7:
17 goes into 160 9 times with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 35172.9
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.

Step 8:
70 divided by 17 is 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 35172.94
If we take 68 away from 70, we end up 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.

Advancing to step 9:
20 divided by 17 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 35172.941
Subtracting 17 from 20 leaves us 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: 35172.9411
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.

The quotient of the division is 35172.9411, and the remainder is 0.00013.