We're dividing 34419 by 10 
Let's see how many times 10 fits into 34419.

Step 1:
10 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 10

Advancing to step 2:
34 divided by 10 is 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 30 away from 34, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 10

Moving on to step 3:
10 goes into 44 4 times with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 34.0
Deduct 40 from 44 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 10

On to step 4:
If we divide 41 by 10, we get 4 and a remainder of 1.
The next digit of our result is 4. 
Result so far: 344.0
Subtract 40 from 41 to get 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 10

Moving on to step 5:
10 can be fit into 19 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 3441.0
The remainder is 9 after subtracting 10 from 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 6:
10 can be fit into 90 9 times, resulting in a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 3441.9
If we subtract 90 from 90, 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.

Advancing to step 7:
If we divide 0 by 10, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 3441.9
Subtract 0 from 0 to 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 8:
When dividing 0 by 10, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 3441.9
The remainder is 0 after subtracting 0 from 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 3441.9, with a leftover of 0.0.