We're dividing 654197 by 19 
Our goal is to divide 654197 by 19.

On to step 1:
The number 19 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 19

Step 2:
19 goes into 65 3 times with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 57 from 65 and we're left with 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 19

Going ahead to step 3:
If we divide 84 by 19, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
The remainder is 8 after subtracting 76 from 84.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 19

On to step 4:
If we divide 81 by 19, we get 4 and a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 344.0
Subtracting 76 from 81 leaves us with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 19

Advancing to step 5:
When dividing 59 by 19, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3443.0
Subtracting 57 from 59 leaves us with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 19

Moving on to step 6:
The number 19 fits into 27 1 times, leaving a remainder of 8.
The next digit of our result is 1. 
Result so far: 34431.0
If we take 19 away from 27, 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 7:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 34431.4
Deduct 76 from 80 and we're left 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.

Advancing to step 8:
If we divide 40 by 19, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 34431.42
If we take 38 away from 40, we end up 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.

Advancing to step 9:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 34431.421
If we subtract 19 from 20, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 10:
19 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 34431.421
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
The number 19 fits into 100 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 34431.42105
Subtracting 95 from 100 leaves us 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.

Let's proceed to step 12:
The number 19 fits into 50 2 times, leaving a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 34431.421052
If we subtract 38 from 50, we 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.

Let's proceed to step 13:
When dividing 120 by 19, we get 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 34431.4210526
If we take 114 away from 120, we end up 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.

On to step 14:
If we divide 60 by 19, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 34431.42105263
The remainder is 3 after subtracting 57 from 60.
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 34431.42105263 with a balance of 3e-09.