We divide 653307 by 19
We're looking to find how many times 19 goes into 653307.

Moving on to step 1:
When dividing 6 by 19, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 19

Moving on to step 2:
19 can be fit into 65 3 times, resulting in a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 57 from 65 and we're left with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 19

On to step 3:
19 can be fit into 83 4 times, resulting in a remainder of 7.
The next digit of our result is 4. 
Result so far: 34.0
Subtracting 76 from 83 leaves us with 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 19

Moving on to step 4:
When dividing 73 by 19, we get 3 with a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 343.0
The remainder is 16 after subtracting 57 from 73.
Bring next digit (0) of the dividend behind the 16 and repeat the process: 160 / 19

Going ahead to step 5:
When dividing 160 by 19, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 3438.0
The remainder is 8 after subtracting 152 from 160.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 19

On to step 6:
19 goes into 87 4 times with a remainder of 11.
The next digit of our result is 4. 
Result so far: 34384.0
The remainder is 11 after subtracting 76 from 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
The number 19 fits into 110 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 34384.5
If we take 95 away from 110, we end up 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.

Moving on to step 8:
When dividing 150 by 19, we get 7 with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 34384.57
Subtract 133 from 150 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 34384.578
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 10:
If we divide 180 by 19, we get 9 and a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 34384.5789
If we take 171 away from 180, we end up 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.

Advancing to step 11:
19 can be fit into 90 4 times, resulting in a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 34384.57894
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.

Step 12:
140 divided by 19 is 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 34384.578947
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.

On to step 13:
If we divide 70 by 19, we get 3 and a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 34384.5789473
If we take 57 away from 70, we end up 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.

Going ahead to step 14:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 34384.57894736
If we subtract 114 from 130, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 34384.57894736 with a remainder of 1.6e-08.