111802 ÷ 19 
Our goal is to divide 111802 by 19.

Moving on to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 19

On to step 2:
When dividing 11 by 19, we get 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 19

Advancing to step 3:
When dividing 111 by 19, we get 5 with a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 95 from 111, we get 16.
Append the next digit (8) from the dividend to 16 and continue with: 168 / 19

Step 4:
If we divide 168 by 19, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
Subtracting 152 from 168 leaves us with 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 19

Going ahead to step 5:
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: 588.0
The remainder is 8 after subtracting 152 from 160.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 19

Going ahead to step 6:
When dividing 82 by 19, we get 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 5884.0
The remainder is 6 after subtracting 76 from 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
The number 19 fits into 60 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 5884.3
Subtracting 57 from 60 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
30 divided by 19 is 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 5884.31
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
When dividing 110 by 19, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 5884.315
Subtracting 95 from 110 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 10:
If we divide 150 by 19, we get 7 and a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 5884.3157
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.

Step 11:
19 goes into 170 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 5884.31578
Subtracting 152 from 170 leaves us 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 12:
180 divided by 19 is 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 5884.315789
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
19 goes into 90 4 times with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 5884.3157894
The remainder is 14 after subtracting 76 from 90.
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 14:
The number 19 fits into 140 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 5884.31578947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 5884.31578947 with a remainder of 7e-09.