We're dividing 113089 by 35 
We're looking to find how many times 35 goes into 113089.

Let's proceed to step 1:
If we divide 1 by 35, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 35

Moving on to step 2:
35 goes into 11 0 times with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 35

On to step 3:
35 goes into 113 3 times with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 8 after subtracting 105 from 113.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 35

Let's proceed to step 4:
35 goes into 80 2 times with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 32.0
If we take 70 away from 80, we end up with 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 35

On to step 5:
108 divided by 35 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 323.0
If we subtract 105 from 108, we get 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 35

Moving on to step 6:
35 can be fit into 39 1 times, resulting in a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 3231.0
If we subtract 35 from 39, 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.

Moving on to step 7:
35 goes into 40 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 3231.1
Deduct 35 from 40 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
50 divided by 35 is 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 3231.11
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 3231.11 and a remainder of 0.015.