We're dividing 33153 by 35 
Let's see how many times 35 fits into 33153.

Step 1:
The number 35 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 35

Step 2:
33 divided by 35 is 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Take the next digit (1) from the dividend and append it to 33, then repeat: 331 / 35

Moving on to step 3:
35 can be fit into 331 9 times, resulting in a remainder of 16.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 16 after subtracting 315 from 331.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 35

Moving on to step 4:
35 can be fit into 165 4 times, resulting in a remainder of 25.
Use 4 as the next digit of our solution. 
Result so far: 94.0
Subtract 140 from 165 to get 25.
Fetch the next digit (3) from the dividend, attach it to 25 and continue: 253 / 35

Moving on to step 5:
When dividing 253 by 35, we get 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 947.0
Deduct 245 from 253 and we're left 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.

Advancing to step 6:
80 divided by 35 is 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 947.2
Subtract 70 from 80 to 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.

On to step 7:
When dividing 100 by 35, we get 2 with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 947.22
If we take 70 away from 100, 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.

After the division, we end up with 947.22 and a remainder of 0.03.