137902 ÷ 75 
Our goal is to divide 137902 by 75.

Going ahead to step 1:
If we divide 1 by 75, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 75

Moving on to step 2:
If we divide 13 by 75, we get 0 and a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 75

Going ahead to step 3:
The number 75 fits into 137 1 times, leaving a remainder of 62.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 75 from 137 leaves us with 62.
Grab the next digit (9) from the dividend, add it to 62, then carry on: 629 / 75

Let's proceed to step 4:
629 divided by 75 is 8 with a remainder of 29.
Put 8 as the next digit of the answer. 
Result so far: 18.0
If we take 600 away from 629, we end up with 29.
Include the next digit (0) from the dividend after 29, then repeat: 290 / 75

Step 5:
When dividing 290 by 75, we get 3 with a remainder of 65.
Put 3 as the next digit of the answer. 
Result so far: 183.0
The remainder is 65 after subtracting 225 from 290.
Bring next digit (2) of the dividend behind the 65 and repeat the process: 652 / 75

Going ahead to step 6:
75 can be fit into 652 8 times, resulting in a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 1838.0
If we take 600 away from 652, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
When dividing 520 by 75, we get 6 with a remainder of 70.
Record the quotient 6 as the next digit in the result. 
Result so far: 1838.6
Deduct 450 from 520 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 8:
When dividing 700 by 75, we get 9 with a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 1838.69
The remainder is 25 after subtracting 675 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 1838.693
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
If we divide 250 by 75, we get 3 and a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 1838.6933
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 1838.6933, with a leftover of 0.00025.