735542 ÷ 38 
We want to figure out the number of times 735542 can be divided by 38.

Step 1:
38 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 38

Step 2:
When dividing 73 by 38, we get 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 38 from 73, we get 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 38

Moving on to step 3:
The number 38 fits into 355 9 times, leaving a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
If we subtract 342 from 355, we get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 38

Step 4:
The number 38 fits into 135 3 times, leaving a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 193.0
Subtract 114 from 135 to get 21.
Bring next digit (4) of the dividend behind the 21 and repeat the process: 214 / 38

Step 5:
If we divide 214 by 38, we get 5 and a remainder of 24.
The number 5 becomes the next digit in our result. 
Result so far: 1935.0
Deduct 190 from 214 and we're left with 24.
Include the next digit (2) from the dividend after 24, then repeat: 242 / 38

Advancing to step 6:
If we divide 242 by 38, we get 6 and a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 19356.0
Subtracting 228 from 242 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.

Step 7:
The number 38 fits into 140 3 times, leaving a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 19356.3
Subtract 114 from 140 to 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.

Let's proceed to step 8:
260 divided by 38 is 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 19356.36
If we take 228 away from 260, we end up 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.

Going ahead to step 9:
320 divided by 38 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 19356.368
If we subtract 304 from 320, we 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:
The number 38 fits into 160 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 19356.3684
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
80 divided by 38 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 19356.36842
The remainder is 4 after subtracting 76 from 80.
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:
40 divided by 38 is 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 19356.368421
Subtract 38 from 40 to get 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:
20 divided by 38 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 19356.368421
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.

Let's proceed to step 14:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 19356.36842105
Subtracting 190 from 200 leaves us 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.

The final result is 19356.36842105 with a remainder of 1e-08.