109967 ÷ 19 
We want to figure out the number of times 109967 can be divided by 19.

Let's proceed to step 1:
The number 19 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 19

Advancing to step 2:
When dividing 10 by 19, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 19

Moving on to step 3:
109 divided by 19 is 5 with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 14 after subtracting 95 from 109.
Fetch the next digit (9) from the dividend, attach it to 14 and continue: 149 / 19

Moving on to step 4:
If we divide 149 by 19, we get 7 and a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
Subtracting 133 from 149 leaves us with 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 19

Going ahead to step 5:
When dividing 166 by 19, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 578.0
Deduct 152 from 166 and we're left with 14.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 19

On to step 6:
19 goes into 147 7 times with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 5787.0
If we take 133 away from 147, we end up 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.

On to step 7:
19 goes into 140 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 5787.7
If we take 133 away from 140, we end up 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.

Step 8:
70 divided by 19 is 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 5787.73
The remainder is 13 after subtracting 57 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 9:
19 goes into 130 6 times with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 5787.736
If we take 114 away from 130, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
19 goes into 160 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 5787.7368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
When dividing 80 by 19, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 5787.73684
Subtracting 76 from 80 leaves us 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.

Advancing to step 12:
When dividing 40 by 19, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 5787.736842
If we subtract 38 from 40, we 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.

Let's proceed to step 13:
If we divide 20 by 19, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 5787.7368421
If we subtract 19 from 20, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 14:
The number 19 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 5787.7368421
Subtracting 0 from 10 leaves us 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.

The final result is 5787.7368421 with a remainder of 1e-08.