633459 ÷ 17 
Let's see how many times 17 fits into 633459.

Advancing to step 1:
17 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 17

Moving on to step 2:
When dividing 63 by 17, we get 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 51 from 63 and we're left with 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 17

On to step 3:
The number 17 fits into 123 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 37.0
The remainder is 4 after subtracting 119 from 123.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 17

Going ahead to step 4:
17 goes into 44 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 372.0
Subtract 34 from 44 to get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 17

Advancing to step 5:
17 can be fit into 105 6 times, resulting in a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 3726.0
If we subtract 102 from 105, we get 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 17

Going ahead to step 6:
17 can be fit into 39 2 times, resulting in a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 37262.0
Deduct 34 from 39 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 17 is 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 37262.2
Subtracting 34 from 50 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.

Moving on to step 8:
The number 17 fits into 160 9 times, leaving a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 37262.29
The remainder is 7 after subtracting 153 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
70 divided by 17 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 37262.294
The remainder is 2 after subtracting 68 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
When dividing 20 by 17, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 37262.2941
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.

Step 11:
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: 37262.29411
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 final result is 37262.29411 with a remainder of 1.3e-05.