We look at the division of 676414 by 38 
We're looking to find how many times 38 goes into 676414.

Moving on to step 1:
38 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 38

Moving on to step 2:
If we divide 67 by 38, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 29 after subtracting 38 from 67.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 38

On to step 3:
38 can be fit into 296 7 times, resulting in a remainder of 30.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 266 from 296 and we're left with 30.
Fetch the next digit (4) from the dividend, attach it to 30 and continue: 304 / 38

Advancing to step 4:
If we divide 304 by 38, we get 8 and a remainder of 0.
The next digit of our result is 8. 
Result so far: 178.0
The remainder is 0 after subtracting 304 from 304.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 38

On to step 5:
38 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 1780.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 38

Advancing to step 6:
38 can be fit into 14 0 times, resulting in a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 17800.0
Subtracting 0 from 14 leaves us 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 7:
When dividing 140 by 38, we get 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 17800.3
The remainder is 26 after subtracting 114 from 140.
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:
38 goes into 260 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 17800.36
If we subtract 228 from 260, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
The number 38 fits into 320 8 times, leaving a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 17800.368
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.

Advancing to step 10:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 17800.3684
The remainder is 8 after subtracting 152 from 160.
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:
38 can be fit into 80 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 17800.36842
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.

Going ahead to step 12:
38 goes into 40 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 17800.368421
If we subtract 38 from 40, we 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.

Let's proceed to step 13:
38 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 17800.368421
Subtracting 0 from 20 leaves us with 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 14:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 17800.36842105
Subtract 190 from 200 to 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.

Our division results in 17800.36842105 with a remaining 1e-08.