351397 divided by 19 
We want to figure out the number of times 351397 can be divided by 19.

Advancing to step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 19

Step 2:
19 can be fit into 35 1 times, resulting in a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 19 from 35 to get 16.
Include the next digit (1) from the dividend after 16, then repeat: 161 / 19

On to step 3:
When dividing 161 by 19, we get 8 with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 18.0
If we take 152 away from 161, we end up with 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 19

On to step 4:
93 divided by 19 is 4 with a remainder of 17.
Put 4 as the next digit of the answer. 
Result so far: 184.0
If we subtract 76 from 93, we get 17.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 19

Advancing to step 5:
179 divided by 19 is 9 with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 1849.0
If we take 171 away from 179, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 19

Let's proceed 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: 18494.0
Subtract 76 from 87 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
19 can be fit into 110 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 18494.5
Subtracting 95 from 110 leaves us 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.

Let's proceed to step 8:
19 goes into 150 7 times with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 18494.57
If we take 133 away from 150, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
19 goes into 170 8 times with a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 18494.578
Subtract 152 from 170 to get 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 10:
If we divide 180 by 19, we get 9 and a remainder of 9.
The next digit of our result is 9. 
Result so far: 18494.5789
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.

On to step 11:
When dividing 90 by 19, we get 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 18494.57894
Subtracting 76 from 90 leaves us 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.

Let's proceed to step 12:
19 goes into 140 7 times with a remainder of 7.
The next digit of our result is 7. 
Result so far: 18494.578947
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.

Let's proceed to step 13:
19 goes into 70 3 times with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 18494.5789473
The remainder is 13 after subtracting 57 from 70.
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:
130 divided by 19 is 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 18494.57894736
If we take 114 away from 130, we end up 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.

After the division, we end up with 18494.57894736 and a remainder of 1.6e-08.