We look at the division of 109003 by 35 
We want to figure out the number of times 109003 can be divided by 35.

On to step 1:
When dividing 1 by 35, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 35

Advancing to step 2:
35 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 35

On to step 3:
35 can be fit into 109 3 times, resulting in a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 4 after subtracting 105 from 109.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 35

Let's proceed to step 4:
35 can be fit into 40 1 times, resulting in a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Subtract 35 from 40 to get 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 35

On to step 5:
When dividing 50 by 35, we get 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 311.0
Subtracting 35 from 50 leaves us with 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 35

Going ahead to step 6:
When dividing 153 by 35, we get 4 with a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 3114.0
If we subtract 140 from 153, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
130 divided by 35 is 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 3114.3
Subtracting 105 from 130 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
If we divide 250 by 35, we get 7 and a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 3114.37
If we take 245 away from 250, we end up 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.

Moving on to step 9:
If we divide 50 by 35, we get 1 and a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 3114.371
Subtract 35 from 50 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 10:
35 goes into 150 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 3114.3714
Subtract 140 from 150 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 11:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 3114.37142
Subtract 70 from 100 to get 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 12:
300 divided by 35 is 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 3114.371428
If we subtract 280 from 300, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
35 goes into 200 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 3114.3714285
If we subtract 175 from 200, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 14:
When dividing 250 by 35, we get 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 3114.37142857
If we take 245 away from 250, we end up 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.

The final outcome is 3114.37142857, with a leftover of 5e-09.