We look at the division of 137870 by 38 
We want to divide 137870 by 38.

Step 1:
The number 38 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 38

Step 2:
If we divide 13 by 38, we get 0 and a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 38

Going ahead to step 3:
If we divide 137 by 38, we get 3 and a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 114 from 137 leaves us with 23.
Take the next digit (8) from the dividend and append it to 23, then repeat: 238 / 38

On to step 4:
38 can be fit into 238 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 36.0
Deduct 228 from 238 and we're left with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 38

Advancing to step 5:
38 goes into 107 2 times with a remainder of 31.
The next digit of our result is 2. 
Result so far: 362.0
Subtracting 76 from 107 leaves us with 31.
Append the next digit (0) from the dividend to 31 and continue with: 310 / 38

Let's proceed to step 6:
If we divide 310 by 38, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 3628.0
Deduct 304 from 310 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
If we divide 60 by 38, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 3628.1
If we subtract 38 from 60, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
The number 38 fits into 220 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 3628.15
The remainder is 30 after subtracting 190 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
If we divide 300 by 38, we get 7 and a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 3628.157
Deduct 266 from 300 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 10:
38 can be fit into 340 8 times, resulting in a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 3628.1578
If we take 304 away from 340, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 11:
38 goes into 360 9 times with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 3628.15789
Subtracting 342 from 360 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 12:
38 can be fit into 180 4 times, resulting in a remainder of 28.
The next digit of our result is 4. 
Result so far: 3628.157894
If we subtract 152 from 180, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 13:
38 can be fit into 280 7 times, resulting in a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 3628.1578947
Subtracting 266 from 280 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 14:
140 divided by 38 is 3 with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 3628.15789473
Subtracting 114 from 140 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 3628.15789473 with a remaining 2.6e-08.