We look at the division of 423298 by 38 
We want to divide 423298 by 38.

On to step 1:
38 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 38

Moving on to step 2:
If we divide 42 by 38, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 38 from 42 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 38

Moving on to step 3:
43 divided by 38 is 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 38 away from 43, we end up with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 38

Advancing to step 4:
38 goes into 52 1 times with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 111.0
The remainder is 14 after subtracting 38 from 52.
Bring next digit (9) of the dividend behind the 14 and repeat the process: 149 / 38

Going ahead to step 5:
149 divided by 38 is 3 with a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 1113.0
Subtract 114 from 149 to get 35.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 38

Let's proceed to step 6:
38 can be fit into 358 9 times, resulting in a remainder of 16.
The next digit of our result is 9. 
Result so far: 11139.0
Deduct 342 from 358 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.

On to step 7:
38 can be fit into 160 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 11139.4
Deduct 152 from 160 and we're left 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.

Let's proceed to step 8:
The number 38 fits into 80 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 11139.42
If we take 76 away from 80, we end up 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.

Moving on to step 9:
40 divided by 38 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 11139.421
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
38 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 11139.421
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.

Step 11:
38 goes into 200 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 11139.42105
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.

Step 12:
38 can be fit into 100 2 times, resulting in a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 11139.421052
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.

Advancing to step 13:
When dividing 240 by 38, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 11139.4210526
Deduct 228 from 240 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 14:
If we divide 120 by 38, we get 3 and a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 11139.42105263
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 11139.42105263 with a remainder of 6e-09.