We look at the division of 654958 by 19 
Let's see how many times 19 fits into 654958.

On 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
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 19

Step 2:
When dividing 65 by 19, we get 3 with a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 57 from 65 and we're left with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 19

On to step 3:
The number 19 fits into 84 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 34.0
If we subtract 76 from 84, we get 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 19

Advancing to step 4:
When dividing 89 by 19, we get 4 with a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 344.0
The remainder is 13 after subtracting 76 from 89.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 19

Step 5:
135 divided by 19 is 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 3447.0
Subtract 133 from 135 to get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 19

Step 6:
If we divide 28 by 19, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 34471.0
Deduct 19 from 28 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 7:
If we divide 90 by 19, we get 4 and a remainder of 14.
The next digit of our result is 4. 
Result so far: 34471.4
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.

Advancing to step 8:
When dividing 140 by 19, we get 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 34471.47
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.

Advancing to step 9:
When dividing 70 by 19, we get 3 with a remainder of 13.
The next digit of our result is 3. 
Result so far: 34471.473
If we take 57 away from 70, we end up 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.

Let's proceed to step 10:
If we divide 130 by 19, we get 6 and a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 34471.4736
Subtracting 114 from 130 leaves us 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.

Going ahead to step 11:
If we divide 160 by 19, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 34471.47368
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.

Advancing to step 12:
When dividing 80 by 19, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 34471.473684
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.

Let's proceed to step 13:
19 can be fit into 40 2 times, resulting in a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 34471.4736842
Deduct 38 from 40 and we're left 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.

Step 14:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 34471.47368421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 34471.47368421, with a leftover of 1e-09.