629338 ÷ 34 
We're looking to find how many times 34 goes into 629338.

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
Subtract 0 from 6 to get 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 34

Advancing to step 2:
34 can be fit into 62 1 times, resulting in a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 34 from 62 to get 28.
Bring next digit (9) of the dividend behind the 28 and repeat the process: 289 / 34

On to step 3:
If we divide 289 by 34, we get 8 and a remainder of 17.
Use 8 as the next digit of our solution. 
Result so far: 18.0
If we take 272 away from 289, we end up with 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 34

Going ahead to step 4:
The number 34 fits into 173 5 times, leaving a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 185.0
If we subtract 170 from 173, we get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 34

On to step 5:
34 can be fit into 33 0 times, resulting in a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 1850.0
If we take 0 away from 33, we end up with 33.
Grab the next digit (8) from the dividend, add it to 33, then carry on: 338 / 34

Moving on to step 6:
338 divided by 34 is 9 with a remainder of 32.
Put 9 as the next digit of the answer. 
Result so far: 18509.0
Subtracting 306 from 338 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
The number 34 fits into 320 9 times, leaving a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 18509.9
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
The number 34 fits into 140 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 18509.94
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
34 goes into 40 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 18509.941
If we subtract 34 from 40, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
34 can be fit into 60 1 times, resulting in a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 18509.9411
Subtract 34 from 60 to 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.

After the division, we end up with 18509.9411 and a remainder of 0.00026.