We're dividing 65742 by 38 
We want to divide 65742 by 38.

Moving on to step 1:
38 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 38

Advancing to step 2:
When dividing 65 by 38, we get 1 with a remainder of 27.
The next digit of our result is 1. 
Result so far: 1.0
If we take 38 away from 65, we end up with 27.
Append the next digit (7) from the dividend to 27 and continue with: 277 / 38

Going ahead to step 3:
The number 38 fits into 277 7 times, leaving a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we take 266 away from 277, we end up with 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 38

Let's proceed to step 4:
The number 38 fits into 114 3 times, leaving a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 173.0
If we take 114 away from 114, we end up with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 38

Step 5:
When dividing 2 by 38, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 1730.0
If we take 0 away from 2, 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.

Advancing to step 6:
20 divided by 38 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 1730.0
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.

Advancing to step 7:
When dividing 200 by 38, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 1730.05
Deduct 190 from 200 and we're left 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.

Let's proceed to step 8:
38 can be fit into 100 2 times, resulting in a remainder of 24.
The next digit of our result is 2. 
Result so far: 1730.052
Deduct 76 from 100 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
If we divide 240 by 38, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 1730.0526
If we subtract 228 from 240, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
120 divided by 38 is 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 1730.05263
If we subtract 114 from 120, we get 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 11:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1730.052631
If we take 38 away from 60, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 12:
38 can be fit into 220 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 1730.0526315
If we take 190 away from 220, we end up with 30.
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 13:
38 goes into 300 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 1730.05263157
Subtract 266 from 300 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 1730.05263157 with a remainder of 3.4e-08.