We're dividing 601938 by 19 
We want to figure out the number of times 601938 can be divided by 19.

Step 1:
19 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 19

Moving on to step 2:
60 divided by 19 is 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 57 from 60, we get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 19

Advancing 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
Deduct 19 from 31 and we're left with 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 19

Moving on to step 4:
129 divided by 19 is 6 with a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 316.0
Subtracting 114 from 129 leaves us with 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 19

Step 5:
The number 19 fits into 153 8 times, leaving a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 3168.0
Deduct 152 from 153 and we're left with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 19

Advancing to step 6:
When dividing 18 by 19, we get 0 with a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 31680.0
The remainder is 18 after subtracting 0 from 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
If we divide 180 by 19, we get 9 and a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 31680.9
Deduct 171 from 180 and we're left 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.

Moving on to step 8:
90 divided by 19 is 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 31680.94
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.

Going ahead to step 9:
19 can be fit into 140 7 times, resulting in a remainder of 7.
The next digit of our result is 7. 
Result so far: 31680.947
If we subtract 133 from 140, we get 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 10:
When dividing 70 by 19, we get 3 with a remainder of 13.
The next digit of our result is 3. 
Result so far: 31680.9473
Subtracting 57 from 70 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.

Moving on to step 11:
19 can be fit into 130 6 times, resulting in a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 31680.94736
Subtract 114 from 130 to 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.

Going ahead to step 12:
When dividing 160 by 19, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 31680.947368
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.

Going ahead to step 13:
19 goes into 80 4 times with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 31680.9473684
The remainder is 4 after subtracting 76 from 80.
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 14:
When dividing 40 by 19, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 31680.94736842
Subtract 38 from 40 to 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.

The quotient of the division is 31680.94736842, and the remainder is 2e-09.