We're dividing 137088 by 3 
Let's see how many times 3 fits into 137088.

Moving on to step 1:
3 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 3

On to step 2:
The number 3 fits into 13 4 times, leaving a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 1 after subtracting 12 from 13.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Let's proceed to step 3:
The number 3 fits into 17 5 times, leaving a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 45.0
If we take 15 away from 17, we end up with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 3

Advancing to step 4:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 456.0
Subtract 18 from 20 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 3

Moving on to step 5:
If we divide 28 by 3, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 4569.0
Subtracting 27 from 28 leaves us with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Advancing to step 6:
When dividing 18 by 3, we get 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 45696.0
If we take 18 away from 18, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
3 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 45696.0
Deduct 0 from 0 and we're left with 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:
If we divide 0 by 3, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 45696.0
Subtracting 0 from 0 leaves us with 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 45696.0 with a balance of 0.0.