426435 ÷ 38 
Our goal is to divide 426435 by 38.

Let's proceed to step 1:
38 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 38

On to step 2:
When dividing 42 by 38, we get 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 4 after subtracting 38 from 42.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 38

Moving on to step 3:
The number 38 fits into 46 1 times, leaving a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Deduct 38 from 46 and we're left with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 38

Step 4:
The number 38 fits into 84 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 112.0
Deduct 76 from 84 and we're left with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 38

Moving on to step 5:
The number 38 fits into 83 2 times, leaving a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 1122.0
Subtract 76 from 83 to get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 38

Going ahead to step 6:
When dividing 75 by 38, we get 1 with a remainder of 37.
The next digit of our result is 1. 
Result so far: 11221.0
The remainder is 37 after subtracting 38 from 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 7:
38 goes into 370 9 times with a remainder of 28.
Use 9 as the next digit of our solution. 
Result so far: 11221.9
If we subtract 342 from 370, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
38 goes into 280 7 times with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 11221.97
If we subtract 266 from 280, we get 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 9:
If we divide 140 by 38, we get 3 and a remainder of 26.
The next digit of our result is 3. 
Result so far: 11221.973
Deduct 114 from 140 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 10:
When dividing 260 by 38, we get 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 11221.9736
Subtracting 228 from 260 leaves us 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.

Step 11:
If we divide 320 by 38, we get 8 and a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 11221.97368
The remainder is 16 after subtracting 304 from 320.
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 12:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 11221.973684
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.

Going ahead to step 13:
When dividing 80 by 38, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 11221.9736842
Deduct 76 from 80 and we're left 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 14:
38 goes into 40 1 times with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 11221.97368421
If we subtract 38 from 40, we 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.

After the division, we end up with 11221.97368421 and a remainder of 2e-09.