137821 divided by 38 
Our goal is to divide 137821 by 38.

Going ahead to step 1:
38 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
The remainder is 1 after subtracting 0 from 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 38

Let's proceed to step 2:
When dividing 13 by 38, we get 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 38

Going ahead to step 3:
137 divided by 38 is 3 with a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 114 away from 137, we end up 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.
The next digit of our result is 6. 
Result so far: 36.0
The remainder is 10 after subtracting 228 from 238.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 38

Step 5:
38 can be fit into 102 2 times, resulting in a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 362.0
Subtracting 76 from 102 leaves us with 26.
Bring next digit (1) of the dividend behind the 26 and repeat the process: 261 / 38

Advancing to step 6:
The number 38 fits into 261 6 times, leaving a remainder of 33.
Put 6 as the next digit of the answer. 
Result so far: 3626.0
If we subtract 228 from 261, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
38 goes into 330 8 times with a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 3626.8
If we subtract 304 from 330, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
If we divide 260 by 38, we get 6 and a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 3626.86
Subtract 228 from 260 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
The number 38 fits into 320 8 times, leaving a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 3626.868
Deduct 304 from 320 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
When dividing 160 by 38, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 3626.8684
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
80 divided by 38 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 3626.86842
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
38 can be fit into 40 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 3626.868421
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
When dividing 20 by 38, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 3626.868421
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
38 can be fit into 200 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 3626.86842105
If we take 190 away from 200, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 3626.86842105 and a remainder of 1e-08.