289569 ÷ 19 
Let's see how many times 19 fits into 289569.

On to step 1:
When dividing 2 by 19, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 19

On to step 2:
If we divide 28 by 19, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 19 away from 28, we end up with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 19

Moving on to step 3:
When dividing 99 by 19, we get 5 with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 15.0
The remainder is 4 after subtracting 95 from 99.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 19

Let's proceed to step 4:
If we divide 45 by 19, we get 2 and a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 152.0
If we subtract 38 from 45, we get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 19

Step 5:
19 can be fit into 76 4 times, resulting in a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 1524.0
Subtract 76 from 76 to get 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 19

Step 6:
9 divided by 19 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 15240.0
Subtract 0 from 9 to 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.

Let's proceed to step 7:
When dividing 90 by 19, we get 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 15240.4
If we take 76 away from 90, 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 8:
When dividing 140 by 19, we get 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 15240.47
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.

Going ahead to step 9:
19 goes into 70 3 times with a remainder of 13.
The next digit of our result is 3. 
Result so far: 15240.473
Deduct 57 from 70 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 10:
When dividing 130 by 19, we get 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 15240.4736
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.

On to step 11:
The number 19 fits into 160 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 15240.47368
If we take 152 away from 160, we end up 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.

Step 12:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 15240.473684
Deduct 76 from 80 and we're left 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.

Moving on to step 13:
40 divided by 19 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 15240.4736842
Deduct 38 from 40 and we're left with 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 14:
If we divide 20 by 19, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 15240.47368421
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.

The quotient of the division is 15240.47368421, and the remainder is 1e-09.