105196 divided by 38 
We're looking to find how many times 38 goes into 105196.

Advancing to step 1:
If we divide 1 by 38, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 38

Let's proceed to step 2:
38 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 38

Going ahead to step 3:
38 can be fit into 105 2 times, resulting in a remainder of 29.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 29 after subtracting 76 from 105.
Bring next digit (1) of the dividend behind the 29 and repeat the process: 291 / 38

Step 4:
When dividing 291 by 38, we get 7 with a remainder of 25.
Write down 7 as next digit of the result. 
Result so far: 27.0
Subtract 266 from 291 to get 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 38

Moving on to step 5:
If we divide 259 by 38, we get 6 and a remainder of 31.
Use 6 as the next digit of our solution. 
Result so far: 276.0
Deduct 228 from 259 and we're left with 31.
Fetch the next digit (6) from the dividend, attach it to 31 and continue: 316 / 38

Step 6:
38 goes into 316 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 2768.0
If we take 304 away from 316, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
38 goes into 120 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 2768.3
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
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: 2768.31
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.

Step 9:
38 can be fit into 220 5 times, resulting in a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 2768.315
If we subtract 190 from 220, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
38 goes into 300 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 2768.3157
Subtracting 266 from 300 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
The number 38 fits into 340 8 times, leaving a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 2768.31578
If we take 304 away from 340, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 12:
When dividing 360 by 38, we get 9 with a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 2768.315789
If we take 342 away from 360, 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.

Advancing to step 13:
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: 2768.3157894
Deduct 152 from 180 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 14:
The number 38 fits into 280 7 times, leaving a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 2768.31578947
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.

Our division results in 2768.31578947 with a remaining 1.4e-08.