Let's divide 421434 by 38
Our goal is to divide 421434 by 38.

Going ahead to step 1:
38 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 38

Let's proceed to step 2:
If we divide 42 by 38, we get 1 and a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 38 away from 42, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 38

Step 3:
When dividing 41 by 38, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 38 from 41 to get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 38

Step 4:
When dividing 34 by 38, we get 0 with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 110.0
If we subtract 0 from 34, we get 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 38

Advancing to step 5:
38 goes into 343 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 1109.0
Deduct 342 from 343 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 38

Moving on to step 6:
When dividing 14 by 38, we get 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 11090.0
If we take 0 away from 14, we end up 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.

Moving on to step 7:
If we divide 140 by 38, we get 3 and a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 11090.3
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.

Going ahead to step 8:
38 can be fit into 260 6 times, resulting in a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 11090.36
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 9:
If we divide 320 by 38, we get 8 and a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 11090.368
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.

Step 10:
When dividing 160 by 38, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 11090.3684
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.

Step 11:
When dividing 80 by 38, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 11090.36842
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.

Going ahead to step 12:
40 divided by 38 is 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 11090.368421
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.

On to step 13:
38 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 11090.368421
Subtracting 0 from 20 leaves us 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 14:
If we divide 200 by 38, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 11090.36842105
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.

In conclusion, the division gives 11090.36842105 with a balance of 1e-08.