654138 divided by 19 
Our goal is to divide 654138 by 19.

Advancing to step 1:
6 divided by 19 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 19

Moving on to step 2:
If we divide 65 by 19, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 57 from 65, we get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 19

Let's proceed to step 3:
When dividing 84 by 19, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 34.0
The remainder is 8 after subtracting 76 from 84.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 19

On to step 4:
19 goes into 81 4 times with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 344.0
The remainder is 5 after subtracting 76 from 81.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 19

On to step 5:
19 goes into 53 2 times with a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 3442.0
The remainder is 15 after subtracting 38 from 53.
Take the next digit (8) from the dividend and append it to 15, then repeat: 158 / 19

Going ahead to step 6:
If we divide 158 by 19, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 34428.0
Deduct 152 from 158 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
When dividing 60 by 19, we get 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 34428.3
Subtract 57 from 60 to 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.

Going ahead to step 8:
When dividing 30 by 19, we get 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 34428.31
Deduct 19 from 30 and we're left with 11.
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 9:
19 goes into 110 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 34428.315
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 10:
When dividing 150 by 19, we get 7 with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 34428.3157
Subtracting 133 from 150 leaves us 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.

Advancing to step 11:
If we divide 170 by 19, we get 8 and a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 34428.31578
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 12:
19 can be fit into 180 9 times, resulting in a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 34428.315789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 13:
19 can be fit into 90 4 times, resulting in a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 34428.3157894
If we subtract 76 from 90, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 14:
19 goes into 140 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 34428.31578947
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 34428.31578947 with a balance of 7e-09.