We divide 601268 by 19
We want to divide 601268 by 19.

Step 1:
When dividing 6 by 19, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 19

Step 2:
19 can be fit into 60 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 57 from 60 and we're left with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 19

Moving on to step 3:
When dividing 31 by 19, we get 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
If we take 19 away from 31, we end up with 12.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 19

Moving on to step 4:
19 can be fit into 122 6 times, resulting in a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 316.0
Subtract 114 from 122 to get 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 19

On to step 5:
86 divided by 19 is 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 3164.0
Subtracting 76 from 86 leaves us with 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 19

Let's proceed to step 6:
19 can be fit into 108 5 times, resulting in a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 31645.0
Subtracting 95 from 108 leaves us 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.

Step 7:
19 can be fit into 130 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 31645.6
Deduct 114 from 130 and we're left 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.

Moving on to step 8:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 31645.68
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.

Let's proceed to step 9:
The number 19 fits into 80 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 31645.684
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
19 goes into 40 2 times with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 31645.6842
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.

Advancing to step 11:
19 goes into 20 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 31645.68421
Subtracting 19 from 20 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
When dividing 10 by 19, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 31645.68421
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 31645.6842105
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
When dividing 50 by 19, we get 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 31645.68421052
Subtract 38 from 50 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 31645.68421052 with a remaining 1.2e-08.