We look at the division of 13153 by 35 
We want to figure out the number of times 13153 can be divided by 35.

Let's proceed to step 1:
35 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 35

Moving on to step 2:
If we divide 13 by 35, we get 0 and a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Fetch the next digit (1) from the dividend, attach it to 13 and continue: 131 / 35

Moving on to step 3:
35 can be fit into 131 3 times, resulting in a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 105 from 131 and we're left with 26.
Bring next digit (5) of the dividend behind the 26 and repeat the process: 265 / 35

Let's proceed to step 4:
35 goes into 265 7 times with a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
Deduct 245 from 265 and we're left with 20.
Include the next digit (3) from the dividend after 20, then repeat: 203 / 35

Let's proceed to step 5:
When dividing 203 by 35, we get 5 with a remainder of 28.
The next digit of our result is 5. 
Result so far: 375.0
Subtract 175 from 203 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 6:
280 divided by 35 is 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 375.8
If we subtract 280 from 280, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
If we divide 0 by 35, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 375.8
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
The number 35 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 375.8
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 375.8, with a leftover of 0.0.