105523 ÷ 38 
Let's see how many times 38 fits into 105523.

On to step 1:
When dividing 1 by 38, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 38

On to step 2:
The number 38 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 38

Step 3:
If we divide 105 by 38, we get 2 and a remainder of 29.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 76 from 105 and we're left with 29.
Append the next digit (5) from the dividend to 29 and continue with: 295 / 38

Moving on to step 4:
295 divided by 38 is 7 with a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Subtracting 266 from 295 leaves us with 29.
Append the next digit (2) from the dividend to 29 and continue with: 292 / 38

Advancing to step 5:
38 can be fit into 292 7 times, resulting in a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 277.0
If we subtract 266 from 292, we get 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 38

On to step 6:
38 goes into 263 6 times with a remainder of 35.
The next digit of our result is 6. 
Result so far: 2776.0
Deduct 228 from 263 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
The number 38 fits into 350 9 times, leaving a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 2776.9
Deduct 342 from 350 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
When dividing 80 by 38, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 2776.92
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
If we divide 40 by 38, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 2776.921
Subtract 38 from 40 to get 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 10:
38 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2776.921
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.

Going ahead to step 11:
When dividing 200 by 38, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 2776.92105
Deduct 190 from 200 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 2776.921052
If we subtract 76 from 100, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 13:
When dividing 240 by 38, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 2776.9210526
Subtracting 228 from 240 leaves us 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.

Step 14:
38 goes into 120 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 2776.92105263
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.

In conclusion, the division gives 2776.92105263 with a balance of 6e-09.