676338 ÷ 38 
We want to divide 676338 by 38.

Step 1:
When dividing 6 by 38, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 38

Moving on to step 2:
If we divide 67 by 38, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 38 from 67 and we're left with 29.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 38

Advancing to step 3:
If we divide 296 by 38, we get 7 and a remainder of 30.
The next digit of our result is 7. 
Result so far: 17.0
Subtract 266 from 296 to get 30.
Bring next digit (3) of the dividend behind the 30 and repeat the process: 303 / 38

Going ahead to step 4:
If we divide 303 by 38, we get 7 and a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 177.0
Deduct 266 from 303 and we're left with 37.
Append the next digit (3) from the dividend to 37 and continue with: 373 / 38

Moving on to step 5:
373 divided by 38 is 9 with a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 1779.0
Subtracting 342 from 373 leaves us with 31.
Bring next digit (8) of the dividend behind the 31 and repeat the process: 318 / 38

On to step 6:
38 goes into 318 8 times with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 17798.0
If we subtract 304 from 318, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
The number 38 fits into 140 3 times, leaving a remainder of 26.
The next digit of our result is 3. 
Result so far: 17798.3
Deduct 114 from 140 and we're left 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 8:
The number 38 fits into 260 6 times, leaving a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 17798.36
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.

Let's proceed to step 9:
320 divided by 38 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 17798.368
Deduct 304 from 320 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.

Going ahead to step 10:
The number 38 fits into 160 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 17798.3684
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 11:
80 divided by 38 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 17798.36842
Subtracting 76 from 80 leaves us 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.

Advancing to step 12:
38 can be fit into 40 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 17798.368421
Subtracting 38 from 40 leaves us 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 13:
If we divide 20 by 38, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 17798.368421
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.

Moving on to step 14:
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: 17798.36842105
Subtracting 190 from 200 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 17798.36842105 with a remainder of 1e-08.