Let's divide 603011 by 19
We're looking to find how many times 19 goes into 603011.

Advancing to step 1:
19 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 19

Let's proceed to step 2:
60 divided by 19 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 57 from 60, we get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 19

Step 3:
When dividing 33 by 19, we get 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 31.0
Subtracting 19 from 33 leaves us with 14.
Grab the next digit (0) from the dividend, add it to 14, then carry on: 140 / 19

On to step 4:
The number 19 fits into 140 7 times, leaving a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 317.0
Subtracting 133 from 140 leaves us with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 19

Going ahead to step 5:
19 goes into 71 3 times with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 3173.0
Deduct 57 from 71 and we're left with 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 19

Advancing to step 6:
The number 19 fits into 141 7 times, leaving a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 31737.0
Subtracting 133 from 141 leaves us 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.

Advancing to step 7:
The number 19 fits into 80 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 31737.4
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.

Going ahead to step 8:
The number 19 fits into 40 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 31737.42
Subtracting 38 from 40 leaves us 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.

Moving on to step 9:
If we divide 20 by 19, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 31737.421
If we take 19 away from 20, we end up 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.

Going ahead to step 10:
The number 19 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 31737.421
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.

On to step 11:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 31737.42105
Deduct 95 from 100 and we're left with 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 12:
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: 31737.421052
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.

Step 13:
19 goes into 120 6 times with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 31737.4210526
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 14:
19 goes into 60 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 31737.42105263
If we subtract 57 from 60, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 31737.42105263 with a balance of 3e-09.