Let's divide 136738 by 3
We want to divide 136738 by 3.

Step 1:
3 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Going ahead to step 2:
The number 3 fits into 13 4 times, leaving a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 12 from 13 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Going ahead to step 3:
The number 3 fits into 16 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
If we subtract 15 from 16, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

On to step 4:
When dividing 17 by 3, we get 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 455.0
Subtract 15 from 17 to get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 3

On to step 5:
3 goes into 23 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 4557.0
If we subtract 21 from 23, we get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 3

Advancing to step 6:
3 can be fit into 28 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 45579.0
The remainder is 1 after subtracting 27 from 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
If we divide 10 by 3, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 45579.3
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 45579.33
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 45579.33, with a leftover of 0.001.