687105 ÷ 38 
Our goal is to divide 687105 by 38.

Going ahead to step 1:
When dividing 6 by 38, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 38

Step 2:
68 divided by 38 is 1 with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 38 from 68 and we're left with 30.
Include the next digit (7) from the dividend after 30, then repeat: 307 / 38

Moving on to step 3:
The number 38 fits into 307 8 times, leaving a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 18.0
If we take 304 away from 307, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 38

Let's proceed to step 4:
38 can be fit into 31 0 times, resulting in a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 180.0
Deduct 0 from 31 and we're left with 31.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 38

Let's proceed to step 5:
If we divide 310 by 38, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 1808.0
If we take 304 away from 310, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 38

Let's proceed to step 6:
38 can be fit into 65 1 times, resulting in a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 18081.0
The remainder is 27 after subtracting 38 from 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
38 goes into 270 7 times with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 18081.7
Subtract 266 from 270 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.

Moving on to step 8:
When dividing 40 by 38, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 18081.71
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.

Moving on to step 9:
When dividing 20 by 38, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 18081.71
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.

Let's proceed to step 10:
200 divided by 38 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 18081.7105
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.

Step 11:
When dividing 100 by 38, we get 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 18081.71052
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:
The number 38 fits into 240 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 18081.710526
The remainder is 12 after subtracting 228 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
If we divide 120 by 38, we get 3 and a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 18081.7105263
Subtracting 114 from 120 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 14:
If we divide 60 by 38, we get 1 and a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 18081.71052631
Subtracting 38 from 60 leaves us 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 18081.71052631 with a remaining 2.2e-08.