100810 ÷ 38 
We're looking to find how many times 38 goes into 100810.

Advancing to step 1:
The number 38 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 38

Let's proceed to step 2:
38 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 38

On to step 3:
100 divided by 38 is 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 76 from 100 and we're left with 24.
Append the next digit (8) from the dividend to 24 and continue with: 248 / 38

Going ahead to step 4:
248 divided by 38 is 6 with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 26.0
Deduct 228 from 248 and we're left with 20.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 38

Moving on to step 5:
38 goes into 201 5 times with a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 265.0
If we subtract 190 from 201, we get 11.
Grab the next digit (0) from the dividend, add it to 11, then carry on: 110 / 38

Step 6:
38 goes into 110 2 times with a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 2652.0
Subtract 76 from 110 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
When dividing 340 by 38, we get 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 2652.8
The remainder is 36 after subtracting 304 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 8:
360 divided by 38 is 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 2652.89
Deduct 342 from 360 and we're left 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 9:
38 goes into 180 4 times with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 2652.894
Subtract 152 from 180 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.

Advancing to step 10:
38 can be fit into 280 7 times, resulting in a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 2652.8947
The remainder is 14 after subtracting 266 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 11:
If we divide 140 by 38, we get 3 and a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 2652.89473
If we subtract 114 from 140, we get 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 12:
38 can be fit into 260 6 times, resulting in a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 2652.894736
The remainder is 32 after subtracting 228 from 260.
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 13:
38 goes into 320 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 2652.8947368
The remainder is 16 after subtracting 304 from 320.
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 14:
38 goes into 160 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 2652.89473684
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.

After the division, we end up with 2652.89473684 and a remainder of 8e-09.