We look at the division of 553236 by 34 
We're looking to find how many times 34 goes into 553236.

Going ahead to step 1:
When dividing 5 by 34, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 34

On to step 2:
If we divide 55 by 34, we get 1 and a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 34 from 55 to get 21.
Bring next digit (3) of the dividend behind the 21 and repeat the process: 213 / 34

Moving on to step 3:
34 goes into 213 6 times with a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 204 from 213 to get 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 34

Moving on to step 4:
When dividing 92 by 34, we get 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 162.0
If we subtract 68 from 92, we get 24.
Bring next digit (3) of the dividend behind the 24 and repeat the process: 243 / 34

Let's proceed to step 5:
243 divided by 34 is 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 1627.0
The remainder is 5 after subtracting 238 from 243.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 34

Moving on to step 6:
The number 34 fits into 56 1 times, leaving a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 16271.0
If we subtract 34 from 56, we get 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 7:
34 can be fit into 220 6 times, resulting in a remainder of 16.
The next digit of our result is 6. 
Result so far: 16271.6
Subtracting 204 from 220 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.

Let's proceed to step 8:
The number 34 fits into 160 4 times, leaving a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 16271.64
Deduct 136 from 160 and we're left 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.

Advancing 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: 16271.647
The remainder is 2 after subtracting 238 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
34 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 16271.647
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
34 can be fit into 200 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 16271.64705
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.

Advancing to step 12:
If we divide 300 by 34, we get 8 and a remainder of 28.
The next digit of our result is 8. 
Result so far: 16271.647058
Subtracting 272 from 300 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.

On to step 13:
34 can be fit into 280 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 16271.6470588
The remainder is 8 after subtracting 272 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 16271.6470588 with a remainder of 8e-08.