682345 ÷ 38 
We want to divide 682345 by 38.

Moving on to step 1:
38 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 38

Advancing to step 2:
38 can be fit into 68 1 times, resulting in a remainder of 30.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 30 after subtracting 38 from 68.
Take the next digit (2) from the dividend and append it to 30, then repeat: 302 / 38

Let's proceed to step 3:
38 goes into 302 7 times with a remainder of 36.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we subtract 266 from 302, we get 36.
Bring next digit (3) of the dividend behind the 36 and repeat the process: 363 / 38

Let's proceed to step 4:
When dividing 363 by 38, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 179.0
Subtracting 342 from 363 leaves us with 21.
Fetch the next digit (4) from the dividend, attach it to 21 and continue: 214 / 38

On to step 5:
When dividing 214 by 38, we get 5 with a remainder of 24.
Put 5 as the next digit of the answer. 
Result so far: 1795.0
If we subtract 190 from 214, we get 24.
Grab the next digit (5) from the dividend, add it to 24, then carry on: 245 / 38

Step 6:
If we divide 245 by 38, we get 6 and a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 17956.0
Deduct 228 from 245 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
38 can be fit into 170 4 times, resulting in a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 17956.4
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
When dividing 180 by 38, we get 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 17956.44
The remainder is 28 after subtracting 152 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 17956.44 and a remainder of 0.028.