We look at the division of 289568 by 38 
We want to figure out the number of times 289568 can be divided by 38.

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 subtract 0 from 2, we get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 38

Advancing to step 2:
28 divided by 38 is 0 with a remainder of 28.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 28 to get 28.
Take the next digit (9) from the dividend and append it to 28, then repeat: 289 / 38

Moving on to step 3:
38 can be fit into 289 7 times, resulting in a remainder of 23.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 266 from 289, we get 23.
Include the next digit (5) from the dividend after 23, then repeat: 235 / 38

Let's proceed to step 4:
If we divide 235 by 38, we get 6 and a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtract 228 from 235 to get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 38

Let's proceed to step 5:
If we divide 76 by 38, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 762.0
Subtract 76 from 76 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 38

Advancing to step 6:
38 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 7620.0
Deduct 0 from 8 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.

Advancing to step 7:
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: 7620.2
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.

Moving on to step 8:
If we divide 40 by 38, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 7620.21
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.

Going ahead to step 9:
20 divided by 38 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 7620.21
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.

On to step 10:
200 divided by 38 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 7620.2105
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.

Going ahead to step 11:
100 divided by 38 is 2 with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 7620.21052
The remainder is 24 after subtracting 76 from 100.
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 12:
When dividing 240 by 38, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 7620.210526
Subtracting 228 from 240 leaves us 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.

Let's proceed to step 13:
38 can be fit into 120 3 times, resulting in a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 7620.2105263
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 7620.21052631
If we take 38 away from 60, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 7620.21052631 with a remaining 2.2e-08.