We divide 258319 by 38
Our goal is to divide 258319 by 38.

On to step 1:
The number 38 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 38

On to step 2:
38 can be fit into 25 0 times, resulting in a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Fetch the next digit (8) from the dividend, attach it to 25 and continue: 258 / 38

Moving on to step 3:
The number 38 fits into 258 6 times, leaving a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 228 from 258 to get 30.
Fetch the next digit (3) from the dividend, attach it to 30 and continue: 303 / 38

Going ahead to step 4:
If we divide 303 by 38, we get 7 and a remainder of 37.
The next digit of our result is 7. 
Result so far: 67.0
If we subtract 266 from 303, we get 37.
Include the next digit (1) from the dividend after 37, then repeat: 371 / 38

On to step 5:
38 goes into 371 9 times with a remainder of 29.
The next digit of our result is 9. 
Result so far: 679.0
Subtracting 342 from 371 leaves us with 29.
Fetch the next digit (9) from the dividend, attach it to 29 and continue: 299 / 38

Step 6:
If we divide 299 by 38, we get 7 and a remainder of 33.
The next digit of our result is 7. 
Result so far: 6797.0
If we subtract 266 from 299, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
38 can be fit into 330 8 times, resulting in a remainder of 26.
The next digit of our result is 8. 
Result so far: 6797.8
The remainder is 26 after subtracting 304 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
38 goes into 260 6 times with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 6797.86
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.

Moving on to step 9:
38 goes into 320 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 6797.868
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.

Let's proceed to step 10:
When dividing 160 by 38, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 6797.8684
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.

Advancing to step 11:
When dividing 80 by 38, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 6797.86842
If we subtract 76 from 80, we 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.

Step 12:
40 divided by 38 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 6797.868421
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.

Step 13:
The number 38 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 6797.868421
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 14:
If we divide 200 by 38, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 6797.86842105
If we subtract 190 from 200, we 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.

After the division, we end up with 6797.86842105 and a remainder of 1e-08.