We look at the division of 663259 by 34 
Let's see how many times 34 fits into 663259.

Advancing to step 1:
When dividing 6 by 34, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 34

Moving on to step 2:
The number 34 fits into 66 1 times, leaving a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 34 from 66 leaves us with 32.
Append the next digit (3) from the dividend to 32 and continue with: 323 / 34

Advancing to step 3:
34 can be fit into 323 9 times, resulting in a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Subtract 306 from 323 to get 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 34

Let's proceed to step 4:
34 can be fit into 172 5 times, resulting in a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 195.0
The remainder is 2 after subtracting 170 from 172.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 34

Advancing to step 5:
If we divide 25 by 34, we get 0 and a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 1950.0
The remainder is 25 after subtracting 0 from 25.
Include the next digit (9) from the dividend after 25, then repeat: 259 / 34

On to step 6:
The number 34 fits into 259 7 times, leaving a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 19507.0
Deduct 238 from 259 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
If we divide 210 by 34, we get 6 and a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 19507.6
Subtracting 204 from 210 leaves us 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.

Step 8:
The number 34 fits into 60 1 times, leaving a remainder of 26.
The next digit of our result is 1. 
Result so far: 19507.61
If we subtract 34 from 60, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 9:
The number 34 fits into 260 7 times, leaving a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 19507.617
If we take 238 away from 260, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
If we divide 220 by 34, we get 6 and a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 19507.6176
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
34 goes into 160 4 times with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 19507.61764
Subtract 136 from 160 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
34 goes into 240 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 19507.617647
Deduct 238 from 240 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.

Going ahead to step 13:
If we divide 20 by 34, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 19507.617647
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 14:
34 goes into 200 5 times with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 19507.61764705
If we take 170 away from 200, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 19507.61764705, and the remainder is 3e-08.