Let's divide 19289 by 35
We're looking to find how many times 35 goes into 19289.

Going ahead to step 1:
If we divide 1 by 35, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 35

On to step 2:
35 can be fit into 19 0 times, resulting in a remainder of 19.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 19, we get 19.
Grab the next digit (2) from the dividend, add it to 19, then carry on: 192 / 35

Advancing to step 3:
35 goes into 192 5 times with a remainder of 17.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 17 after subtracting 175 from 192.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 35

On to step 4:
The number 35 fits into 178 5 times, leaving a remainder of 3.
The next digit of our result is 5. 
Result so far: 55.0
If we take 175 away from 178, we end up with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 35

Step 5:
39 divided by 35 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 551.0
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.

Going ahead to step 6:
35 can be fit into 40 1 times, resulting in a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 551.1
Subtracting 35 from 40 leaves us 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.

Step 7:
The number 35 fits into 50 1 times, leaving a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 551.11
If we subtract 35 from 50, we 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.

The final result is 551.11 with a remainder of 0.015.