We divide 105510 by 38
We want to figure out the number of times 105510 can be divided by 38.

Moving on to step 1:
38 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 38

Let's proceed to step 2:
10 divided by 38 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 38

Step 3:
When dividing 105 by 38, we get 2 with a remainder of 29.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 76 from 105, we get 29.
Include the next digit (5) from the dividend after 29, then repeat: 295 / 38

Moving on to step 4:
38 goes into 295 7 times with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 27.0
Subtracting 266 from 295 leaves us with 29.
Take the next digit (1) from the dividend and append it to 29, then repeat: 291 / 38

On to step 5:
38 can be fit into 291 7 times, resulting in a remainder of 25.
Put 7 as the next digit of the answer. 
Result so far: 277.0
Subtract 266 from 291 to get 25.
Fetch the next digit (0) from the dividend, attach it to 25 and continue: 250 / 38

Let's proceed to step 6:
38 goes into 250 6 times with a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 2776.0
Subtract 228 from 250 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
The number 38 fits into 220 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 2776.5
Deduct 190 from 220 and we're left with 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 8:
The number 38 fits into 300 7 times, leaving a remainder of 34.
The next digit of our result is 7. 
Result so far: 2776.57
If we subtract 266 from 300, we 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.

On to step 9:
When dividing 340 by 38, we get 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 2776.578
If we subtract 304 from 340, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
When dividing 360 by 38, we get 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 2776.5789
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.

Let's proceed to step 11:
If we divide 180 by 38, we get 4 and a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 2776.57894
Subtracting 152 from 180 leaves us 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.

Step 12:
When dividing 280 by 38, we get 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 2776.578947
Deduct 266 from 280 and we're left 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.

Moving on to step 13:
If we divide 140 by 38, we get 3 and a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 2776.5789473
Deduct 114 from 140 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 14:
38 can be fit into 260 6 times, resulting in a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 2776.57894736
Subtract 228 from 260 to 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.

After the division, we end up with 2776.57894736 and a remainder of 3.2e-08.