We divide 553906 by 35
We're looking to find how many times 35 goes into 553906.

On to step 1:
The number 35 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 35

On to step 2:
If we divide 55 by 35, we get 1 and a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 35 from 55 to get 20.
Bring next digit (3) of the dividend behind the 20 and repeat the process: 203 / 35

Going ahead to step 3:
When dividing 203 by 35, we get 5 with a remainder of 28.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 175 away from 203, we end up with 28.
Grab the next digit (9) from the dividend, add it to 28, then carry on: 289 / 35

Let's proceed to step 4:
The number 35 fits into 289 8 times, leaving a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 158.0
Deduct 280 from 289 and we're left with 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 35

Moving on to step 5:
35 can be fit into 90 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 1582.0
If we subtract 70 from 90, we get 20.
Include the next digit (6) from the dividend after 20, then repeat: 206 / 35

Let's proceed to step 6:
206 divided by 35 is 5 with a remainder of 31.
Use 5 as the next digit of our solution. 
Result so far: 15825.0
Deduct 175 from 206 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
35 can be fit into 310 8 times, resulting in a remainder of 30.
The next digit of our result is 8. 
Result so far: 15825.8
If we take 280 away from 310, 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.

Moving on to step 8:
35 can be fit into 300 8 times, resulting in a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 15825.88
Deduct 280 from 300 and we're left 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.

After the division, we end up with 15825.88 and a remainder of 0.02.