137571 ÷ 3 
Our goal is to divide 137571 by 3.

Going ahead to step 1:
If we divide 1 by 3, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 3

On to step 2:
13 divided by 3 is 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 12 from 13 leaves us with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 3

Going ahead to step 3:
The number 3 fits into 17 5 times, leaving a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
The remainder is 2 after subtracting 15 from 17.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 3

Moving on to step 4:
The number 3 fits into 25 8 times, leaving a remainder of 1.
The next digit of our result is 8. 
Result so far: 458.0
The remainder is 1 after subtracting 24 from 25.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Advancing to step 5:
3 can be fit into 17 5 times, resulting in a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 4585.0
The remainder is 2 after subtracting 15 from 17.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 3

On to step 6:
If we divide 21 by 3, we get 7 and a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 45857.0
Deduct 21 from 21 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.

Let's proceed to step 7:
The number 3 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 45857.0
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.

On to step 8:
If we divide 0 by 3, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 45857.0
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.

The final outcome is 45857.0, with a leftover of 0.0.