We look at the division of 437558 by 19 
Our goal is to divide 437558 by 19.

Advancing to step 1:
When dividing 4 by 19, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 19

Advancing to step 2:
19 goes into 43 2 times with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 38 from 43, we get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 19

Going ahead to step 3:
19 goes into 57 3 times with a remainder of 0.
The next digit of our result is 3. 
Result so far: 23.0
If we subtract 57 from 57, we get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 19

Moving on to step 4:
19 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 230.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 19

Going ahead to step 5:
When dividing 55 by 19, we get 2 with a remainder of 17.
The next digit of our result is 2. 
Result so far: 2302.0
Subtract 38 from 55 to get 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 19

Moving on to step 6:
The number 19 fits into 178 9 times, leaving a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 23029.0
Subtract 171 from 178 to 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 7:
70 divided by 19 is 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 23029.3
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 8:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 23029.36
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
160 divided by 19 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 23029.368
The remainder is 8 after subtracting 152 from 160.
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 10:
The number 19 fits into 80 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 23029.3684
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.

Step 11:
When dividing 40 by 19, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 23029.36842
Subtracting 38 from 40 leaves us 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 12:
20 divided by 19 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 23029.368421
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.

Advancing to step 13:
The number 19 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 23029.368421
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
100 divided by 19 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 23029.36842105
If we take 95 away from 100, we end up 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.

In conclusion, the division gives 23029.36842105 with a balance of 5e-09.