Let's divide 825663 by 38
Our goal is to divide 825663 by 38.

Step 1:
The number 38 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 38

On to step 2:
If we divide 82 by 38, we get 2 and a remainder of 6.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 76 from 82 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 38

Let's proceed to step 3:
65 divided by 38 is 1 with a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Subtract 38 from 65 to get 27.
Take the next digit (6) from the dividend and append it to 27, then repeat: 276 / 38

Going ahead to step 4:
38 can be fit into 276 7 times, resulting in a remainder of 10.
The next digit of our result is 7. 
Result so far: 217.0
If we take 266 away from 276, we end up with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 38

Going ahead to step 5:
38 goes into 106 2 times with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 2172.0
Deduct 76 from 106 and we're left with 30.
Append the next digit (3) from the dividend to 30 and continue with: 303 / 38

Going ahead to step 6:
When dividing 303 by 38, we get 7 with a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 21727.0
Subtracting 266 from 303 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 7:
If we divide 370 by 38, we get 9 and a remainder of 28.
Use 9 as the next digit of our solution. 
Result so far: 21727.9
Subtract 342 from 370 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
38 can be fit into 280 7 times, resulting in a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 21727.97
Deduct 266 from 280 and we're left 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.

Going ahead to step 9:
The number 38 fits into 140 3 times, leaving a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 21727.973
If we take 114 away from 140, 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.

On to step 10:
38 goes into 260 6 times with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 21727.9736
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 11:
320 divided by 38 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 21727.97368
Subtract 304 from 320 to 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 12:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 21727.973684
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.

On to step 13:
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: 21727.9736842
Subtract 76 from 80 to 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.

Advancing to step 14:
40 divided by 38 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 21727.97368421
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.

After the division, we end up with 21727.97368421 and a remainder of 2e-09.