101721 divided by 38 
We want to divide 101721 by 38.

Advancing to step 1:
38 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 38

Moving on to step 2:
When dividing 10 by 38, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 38

Moving on to step 3:
101 divided by 38 is 2 with a remainder of 25.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 76 from 101, we get 25.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 38

On to step 4:
38 goes into 257 6 times with a remainder of 29.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we take 228 away from 257, we end up with 29.
Include the next digit (2) from the dividend after 29, then repeat: 292 / 38

Let's proceed to step 5:
If we divide 292 by 38, we get 7 and a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 267.0
If we subtract 266 from 292, we get 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 38

Advancing to step 6:
If we divide 261 by 38, we get 6 and a remainder of 33.
The next digit of our result is 6. 
Result so far: 2676.0
Deduct 228 from 261 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
If we divide 330 by 38, we get 8 and a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 2676.8
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.

Step 8:
When dividing 260 by 38, we get 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 2676.86
Deduct 228 from 260 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
38 can be fit into 320 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 2676.868
Subtract 304 from 320 to get 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:
If we divide 160 by 38, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 2676.8684
Subtracting 152 from 160 leaves us with 8.
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:
If we divide 80 by 38, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 2676.86842
Subtracting 76 from 80 leaves us 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.

Advancing to step 12:
38 can be fit into 40 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 2676.868421
Deduct 38 from 40 and we're left 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.

Moving on to step 13:
The number 38 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 2676.868421
Deduct 0 from 20 and we're left 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.

Going ahead to step 14:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 2676.86842105
Subtract 190 from 200 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 2676.86842105 with a remaining 1e-08.