663668 divided by 34 
We want to figure out the number of times 663668 can be divided by 34.

Let's proceed to step 1:
6 divided by 34 is 0 with a remainder of 6.
The number 0 becomes the next digit in our 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

Going ahead to step 2:
When dividing 66 by 34, we get 1 with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 34 away from 66, we end up with 32.
Append the next digit (3) from the dividend to 32 and continue with: 323 / 34

Let's proceed to step 3:
34 goes into 323 9 times with a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Subtracting 306 from 323 leaves us with 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 34

Going ahead to step 4:
34 can be fit into 176 5 times, resulting in a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 195.0
Subtract 170 from 176 to get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 34

Moving on to step 5:
When dividing 66 by 34, we get 1 with a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 1951.0
Subtracting 34 from 66 leaves us with 32.
Fetch the next digit (8) from the dividend, attach it to 32 and continue: 328 / 34

On to step 6:
If we divide 328 by 34, we get 9 and a remainder of 22.
The next digit of our result is 9. 
Result so far: 19519.0
If we take 306 away from 328, 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.

Let's proceed to step 7:
34 can be fit into 220 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 19519.6
Deduct 204 from 220 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 8:
The number 34 fits into 160 4 times, leaving a remainder of 24.
The next digit of our result is 4. 
Result so far: 19519.64
Subtracting 136 from 160 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
34 goes into 240 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 19519.647
Subtracting 238 from 240 leaves us 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.

Moving on to step 10:
When dividing 20 by 34, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 19519.647
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
34 can be fit into 200 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 19519.64705
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 12:
When dividing 300 by 34, we get 8 with a remainder of 28.
The next digit of our result is 8. 
Result so far: 19519.647058
Deduct 272 from 300 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 13:
34 can be fit into 280 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 19519.6470588
If we take 272 away from 280, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 19519.6470588 and a remainder of 8e-08.