Let's divide 19258 by 35
Let's see how many times 35 fits into 19258.

Going ahead to step 1:
35 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 35

Moving on to step 2:
When dividing 19 by 35, we get 0 with a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 19 to get 19.
Append the next digit (2) from the dividend to 19 and continue with: 192 / 35

Step 3:
192 divided by 35 is 5 with a remainder of 17.
The next digit of our result is 5. 
Result so far: 5.0
If we take 175 away from 192, we end up with 17.
Append the next digit (5) from the dividend to 17 and continue with: 175 / 35

Step 4:
The number 35 fits into 175 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
The remainder is 0 after subtracting 175 from 175.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 35

On to step 5:
The number 35 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 550.0
Deduct 0 from 8 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.

Moving on to step 6:
When dividing 80 by 35, we get 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 550.2
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.

Let's proceed to step 7:
When dividing 100 by 35, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 550.22
Subtracting 70 from 100 leaves us 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.

The final outcome is 550.22, with a leftover of 0.03.