350553 ÷ 34 
We want to figure out the number of times 350553 can be divided by 34.

Let's proceed to step 1:
3 divided by 34 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 34

On to step 2:
When dividing 35 by 34, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 34 from 35, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 34

Moving on to step 3:
If we divide 10 by 34, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 10 to get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 34

On to step 4:
34 goes into 105 3 times with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 103.0
Subtract 102 from 105 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 34

Going ahead to step 5:
34 can be fit into 35 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1031.0
If we take 34 away from 35, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 34

Moving on to step 6:
13 divided by 34 is 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 10310.0
Deduct 0 from 13 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
The number 34 fits into 130 3 times, leaving a remainder of 28.
The next digit of our result is 3. 
Result so far: 10310.3
Subtracting 102 from 130 leaves us 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.

Moving on to step 8:
34 can be fit into 280 8 times, resulting in a remainder of 8.
The next digit of our result is 8. 
Result so far: 10310.38
Subtract 272 from 280 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
34 goes into 80 2 times with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 10310.382
The remainder is 12 after subtracting 68 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
34 can be fit into 120 3 times, resulting in a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 10310.3823
Deduct 102 from 120 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
34 can be fit into 180 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 10310.38235
If we subtract 170 from 180, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
34 can be fit into 100 2 times, resulting in a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 10310.382352
The remainder is 32 after subtracting 68 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 13:
34 goes into 320 9 times with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 10310.3823529
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.

Moving on to step 14:
When dividing 140 by 34, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 10310.38235294
If we subtract 136 from 140, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 10310.38235294 and a remainder of 4e-09.