Let's divide 431098 by 38
We're looking to find how many times 38 goes into 431098.

On to step 1:
4 divided by 38 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 38

Advancing to step 2:
When dividing 43 by 38, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 38 from 43, we get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 38

Advancing to step 3:
38 can be fit into 51 1 times, resulting in a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 13 after subtracting 38 from 51.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 38

Moving on to step 4:
The number 38 fits into 130 3 times, leaving a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 113.0
Subtract 114 from 130 to get 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 38

Let's proceed to step 5:
38 can be fit into 169 4 times, resulting in a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 1134.0
Subtract 152 from 169 to get 17.
Grab the next digit (8) from the dividend, add it to 17, then carry on: 178 / 38

Going ahead to step 6:
If we divide 178 by 38, we get 4 and a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 11344.0
If we take 152 away from 178, we end up 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.

Let's proceed to step 7:
If we divide 260 by 38, we get 6 and a remainder of 32.
The next digit of our result is 6. 
Result so far: 11344.6
If we subtract 228 from 260, we get 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 8:
38 can be fit into 320 8 times, resulting in a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 11344.68
Subtracting 304 from 320 leaves us 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.

Moving on to step 9:
38 goes into 160 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 11344.684
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 10:
38 goes into 80 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 11344.6842
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.

Let's proceed to step 11:
40 divided by 38 is 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 11344.68421
Deduct 38 from 40 and we're left 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.

Let's proceed to step 12:
The number 38 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 11344.68421
The remainder is 20 after subtracting 0 from 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 13:
When dividing 200 by 38, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 11344.6842105
Subtract 190 from 200 to get 10.
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:
If we divide 100 by 38, we get 2 and a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 11344.68421052
Subtract 76 from 100 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final outcome is 11344.68421052, with a leftover of 2.4e-08.