We divide 110538 by 19
We're looking to find how many times 19 goes into 110538.

Moving on to step 1:
When dividing 1 by 19, 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 (1) from the dividend to 1 and continue with: 11 / 19

Let's proceed to step 2:
When dividing 11 by 19, we get 0 with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 19

On to step 3:
110 divided by 19 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 95 from 110 to get 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 19

Step 4:
155 divided by 19 is 8 with a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 58.0
The remainder is 3 after subtracting 152 from 155.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 19

Going ahead to step 5:
19 goes into 33 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 581.0
Deduct 19 from 33 and we're left with 14.
Bring next digit (8) of the dividend behind the 14 and repeat the process: 148 / 19

Going ahead to step 6:
When dividing 148 by 19, we get 7 with a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 5817.0
Subtract 133 from 148 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 5817.7
Deduct 133 from 150 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 8:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 5817.78
Deduct 152 from 170 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.

Going ahead to step 9:
19 goes into 180 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 5817.789
Deduct 171 from 180 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 10:
90 divided by 19 is 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 5817.7894
If we subtract 76 from 90, we get 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 11:
When dividing 140 by 19, we get 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 5817.78947
Subtracting 133 from 140 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
If we divide 70 by 19, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 5817.789473
Subtract 57 from 70 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 13:
19 goes into 130 6 times with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 5817.7894736
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 14:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 5817.78947368
Deduct 152 from 160 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.

The final result is 5817.78947368 with a remainder of 8e-09.