431402 ÷ 38 
We want to figure out the number of times 431402 can be divided by 38.

On to step 1:
38 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 38

Let's proceed to step 2:
If we divide 43 by 38, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 38 from 43, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 38

Advancing to step 3:
The number 38 fits into 51 1 times, leaving a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 13 after subtracting 38 from 51.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 38

Step 4:
When dividing 134 by 38, we get 3 with a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
If we subtract 114 from 134, we get 20.
Fetch the next digit (0) from the dividend, attach it to 20 and continue: 200 / 38

Going ahead to step 5:
38 goes into 200 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 1135.0
The remainder is 10 after subtracting 190 from 200.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 38

Moving on to step 6:
If we divide 102 by 38, we get 2 and a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 11352.0
Subtract 76 from 102 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 7:
The number 38 fits into 260 6 times, leaving a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 11352.6
The remainder is 32 after subtracting 228 from 260.
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 8:
The number 38 fits into 320 8 times, leaving a remainder of 16.
The next digit of our result is 8. 
Result so far: 11352.68
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.

Step 9:
If we divide 160 by 38, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 11352.684
If we subtract 152 from 160, we 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 10:
The number 38 fits into 80 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 11352.6842
Subtract 76 from 80 to get 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 11:
40 divided by 38 is 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 11352.68421
Subtracting 38 from 40 leaves us 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 12:
If we divide 20 by 38, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 11352.68421
Subtract 0 from 20 to get 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 13:
The number 38 fits into 200 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 11352.6842105
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 14:
100 divided by 38 is 2 with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 11352.68421052
If we take 76 away from 100, we end up 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.

Our division results in 11352.68421052 with a remaining 2.4e-08.