136419 ÷ 10 
Our goal is to divide 136419 by 10.

Going ahead to step 1:
1 divided by 10 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 10

Moving on to step 2:
13 divided by 10 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 10 from 13 to get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 10

On to step 3:
When dividing 36 by 10, we get 3 with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 30 from 36 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 10

Step 4:
10 can be fit into 64 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 136.0
Deduct 60 from 64 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 10

Moving on to step 5:
The number 10 fits into 41 4 times, leaving a remainder of 1.
The next digit of our result is 4. 
Result so far: 1364.0
The remainder is 1 after subtracting 40 from 41.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 10

On to step 6:
If we divide 19 by 10, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 13641.0
Subtracting 10 from 19 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
The number 10 fits into 90 9 times, leaving a remainder of 0.
The next digit of our result is 9. 
Result so far: 13641.9
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.

Let's proceed to step 8:
When dividing 0 by 10, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 13641.9
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 9:
0 divided by 10 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 13641.9
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.

In conclusion, the division gives 13641.9 with a balance of 0.0.